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Finding the Fourth Proportional to 1,520.87, 2,092.52 and 1,188.72

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Solution

The fourth proportional to 1,520.87, 2,092.52 and 1,188.72 is: 1,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.87 : 2,092.52 = 1,188.72 : x
  2. Step 2: Convert to fraction form
    1,520.87/2,092.52 = 1,188.72/x
  3. Step 3: Cross multiply
    1,520.87x = 2,092.52 × 1,188.72
  4. Step 4: Simplify right side
    1,520.87x = 2,487,423.35
  5. Step 5: Solve for x
    x = 2,487,423.35/1,520.87
  6. Step 6: Final answer
    x = 1,635.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.