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Finding the Fourth Proportional to 1,463.55, 2,018.94 and 932.15

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Solution

The fourth proportional to 1,463.55, 2,018.94 and 932.15 is: 1,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.55 : 2,018.94 = 932.15 : x
  2. Step 2: Convert to fraction form
    1,463.55/2,018.94 = 932.15/x
  3. Step 3: Cross multiply
    1,463.55x = 2,018.94 × 932.15
  4. Step 4: Simplify right side
    1,463.55x = 1,881,944.83
  5. Step 5: Solve for x
    x = 1,881,944.83/1,463.55
  6. Step 6: Final answer
    x = 1,285.88

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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.