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Finding the Fourth Proportional to 2,823.45, 4,234.96 and 875.60

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Solution

The fourth proportional to 2,823.45, 4,234.96 and 875.60 is: 1,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.45 : 4,234.96 = 875.60 : x
  2. Step 2: Convert to fraction form
    2,823.45/4,234.96 = 875.60/x
  3. Step 3: Cross multiply
    2,823.45x = 4,234.96 × 875.60
  4. Step 4: Simplify right side
    2,823.45x = 3,708,130.98
  5. Step 5: Solve for x
    x = 3,708,130.98/2,823.45
  6. Step 6: Final answer
    x = 1,313.33

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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.