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Finding the Fourth Proportional to 1,456.60, 2,178.19 and 1,082.06

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Solution

The fourth proportional to 1,456.60, 2,178.19 and 1,082.06 is: 1,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.60 : 2,178.19 = 1,082.06 : x
  2. Step 2: Convert to fraction form
    1,456.60/2,178.19 = 1,082.06/x
  3. Step 3: Cross multiply
    1,456.60x = 2,178.19 × 1,082.06
  4. Step 4: Simplify right side
    1,456.60x = 2,356,932.27
  5. Step 5: Solve for x
    x = 2,356,932.27/1,456.60
  6. Step 6: Final answer
    x = 1,618.11

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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.