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Finding the Fourth Proportional to 1,766.85, 2,650.10 and 534.29

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Solution

The fourth proportional to 1,766.85, 2,650.10 and 534.29 is: 801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.85 : 2,650.10 = 534.29 : x
  2. Step 2: Convert to fraction form
    1,766.85/2,650.10 = 534.29/x
  3. Step 3: Cross multiply
    1,766.85x = 2,650.10 × 534.29
  4. Step 4: Simplify right side
    1,766.85x = 1,415,906.01
  5. Step 5: Solve for x
    x = 1,415,906.01/1,766.85
  6. Step 6: Final answer
    x = 801.37

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