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Finding the Fourth Proportional to 1,727.31, 2,590.14 and 572.25

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Solution

The fourth proportional to 1,727.31, 2,590.14 and 572.25 is: 858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.31 : 2,590.14 = 572.25 : x
  2. Step 2: Convert to fraction form
    1,727.31/2,590.14 = 572.25/x
  3. Step 3: Cross multiply
    1,727.31x = 2,590.14 × 572.25
  4. Step 4: Simplify right side
    1,727.31x = 1,482,207.62
  5. Step 5: Solve for x
    x = 1,482,207.62/1,727.31
  6. Step 6: Final answer
    x = 858.10

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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.