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Finding the Fourth Proportional to 1,727.13, 2,590.70 and 572.88

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Solution

The fourth proportional to 1,727.13, 2,590.70 and 572.88 is: 859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.13 : 2,590.70 = 572.88 : x
  2. Step 2: Convert to fraction form
    1,727.13/2,590.70 = 572.88/x
  3. Step 3: Cross multiply
    1,727.13x = 2,590.70 × 572.88
  4. Step 4: Simplify right side
    1,727.13x = 1,484,160.22
  5. Step 5: Solve for x
    x = 1,484,160.22/1,727.13
  6. Step 6: Final answer
    x = 859.32

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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.