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Finding the Fourth Proportional to 1,743.25, 2,614.31 and 572.93

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Solution

The fourth proportional to 1,743.25, 2,614.31 and 572.93 is: 859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.25 : 2,614.31 = 572.93 : x
  2. Step 2: Convert to fraction form
    1,743.25/2,614.31 = 572.93/x
  3. Step 3: Cross multiply
    1,743.25x = 2,614.31 × 572.93
  4. Step 4: Simplify right side
    1,743.25x = 1,497,813.76
  5. Step 5: Solve for x
    x = 1,497,813.76/1,743.25
  6. Step 6: Final answer
    x = 859.21

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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.