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Finding the Fourth Proportional to 1,580.87, 2,366.65 and 1,167.27

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Solution

The fourth proportional to 1,580.87, 2,366.65 and 1,167.27 is: 1,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.87 : 2,366.65 = 1,167.27 : x
  2. Step 2: Convert to fraction form
    1,580.87/2,366.65 = 1,167.27/x
  3. Step 3: Cross multiply
    1,580.87x = 2,366.65 × 1,167.27
  4. Step 4: Simplify right side
    1,580.87x = 2,762,519.55
  5. Step 5: Solve for x
    x = 2,762,519.55/1,580.87
  6. Step 6: Final answer
    x = 1,747.47

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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.