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Finding the Fourth Proportional to 2,824.15, 4,235.01 and 875.92

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Solution

The fourth proportional to 2,824.15, 4,235.01 and 875.92 is: 1,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.15 : 4,235.01 = 875.92 : x
  2. Step 2: Convert to fraction form
    2,824.15/4,235.01 = 875.92/x
  3. Step 3: Cross multiply
    2,824.15x = 4,235.01 × 875.92
  4. Step 4: Simplify right side
    2,824.15x = 3,709,529.96
  5. Step 5: Solve for x
    x = 3,709,529.96/2,824.15
  6. Step 6: Final answer
    x = 1,313.50

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Half scale
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Double scale
Find fourth proportional to 2,825.15, 4,236.51 and 876.92
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.