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Finding the Fourth Proportional to 1,766.47, 2,432.17 and 1,500.34

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Solution

The fourth proportional to 1,766.47, 2,432.17 and 1,500.34 is: 2,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.47 : 2,432.17 = 1,500.34 : x
  2. Step 2: Convert to fraction form
    1,766.47/2,432.17 = 1,500.34/x
  3. Step 3: Cross multiply
    1,766.47x = 2,432.17 × 1,500.34
  4. Step 4: Simplify right side
    1,766.47x = 3,649,062.28
  5. Step 5: Solve for x
    x = 3,649,062.28/1,766.47
  6. Step 6: Final answer
    x = 2,065.74

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