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Finding the Fourth Proportional to 1,781.16, 2,672.24 and 611.31

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Solution

The fourth proportional to 1,781.16, 2,672.24 and 611.31 is: 917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.16 : 2,672.24 = 611.31 : x
  2. Step 2: Convert to fraction form
    1,781.16/2,672.24 = 611.31/x
  3. Step 3: Cross multiply
    1,781.16x = 2,672.24 × 611.31
  4. Step 4: Simplify right side
    1,781.16x = 1,633,563.98
  5. Step 5: Solve for x
    x = 1,633,563.98/1,781.16
  6. Step 6: Final answer
    x = 917.13

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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.