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Finding the Fourth Proportional to 2,124.76, 2,932.16 and 1,193.24

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Solution

The fourth proportional to 2,124.76, 2,932.16 and 1,193.24 is: 1,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.76 : 2,932.16 = 1,193.24 : x
  2. Step 2: Convert to fraction form
    2,124.76/2,932.16 = 1,193.24/x
  3. Step 3: Cross multiply
    2,124.76x = 2,932.16 × 1,193.24
  4. Step 4: Simplify right side
    2,124.76x = 3,498,770.60
  5. Step 5: Solve for x
    x = 3,498,770.60/2,124.76
  6. Step 6: Final answer
    x = 1,646.67

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.