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Finding the Fourth Proportional to 1,654.56, 2,478.20 and 1,104.17

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Solution

The fourth proportional to 1,654.56, 2,478.20 and 1,104.17 is: 1,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.56 : 2,478.20 = 1,104.17 : x
  2. Step 2: Convert to fraction form
    1,654.56/2,478.20 = 1,104.17/x
  3. Step 3: Cross multiply
    1,654.56x = 2,478.20 × 1,104.17
  4. Step 4: Simplify right side
    1,654.56x = 2,736,336.18
  5. Step 5: Solve for x
    x = 2,736,336.18/1,654.56
  6. Step 6: Final answer
    x = 1,653.82

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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.