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Finding the Fourth Proportional to 1,567.52, 2,349.90 and 592.91

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Solution

The fourth proportional to 1,567.52, 2,349.90 and 592.91 is: 888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.52 : 2,349.90 = 592.91 : x
  2. Step 2: Convert to fraction form
    1,567.52/2,349.90 = 592.91/x
  3. Step 3: Cross multiply
    1,567.52x = 2,349.90 × 592.91
  4. Step 4: Simplify right side
    1,567.52x = 1,393,279.21
  5. Step 5: Solve for x
    x = 1,393,279.21/1,567.52
  6. Step 6: Final answer
    x = 888.84

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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.