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Finding the Fourth Proportional to 1,516.47, 2,092.87 and 927.60

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Solution

The fourth proportional to 1,516.47, 2,092.87 and 927.60 is: 1,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.47 : 2,092.87 = 927.60 : x
  2. Step 2: Convert to fraction form
    1,516.47/2,092.87 = 927.60/x
  3. Step 3: Cross multiply
    1,516.47x = 2,092.87 × 927.60
  4. Step 4: Simplify right side
    1,516.47x = 1,941,333.43
  5. Step 5: Solve for x
    x = 1,941,333.43/1,516.47
  6. Step 6: Final answer
    x = 1,280.17

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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.