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Finding the Fourth Proportional to 2,402.57, 3,604.28 and 1,104.17

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Solution

The fourth proportional to 2,402.57, 3,604.28 and 1,104.17 is: 1,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.57 : 3,604.28 = 1,104.17 : x
  2. Step 2: Convert to fraction form
    2,402.57/3,604.28 = 1,104.17/x
  3. Step 3: Cross multiply
    2,402.57x = 3,604.28 × 1,104.17
  4. Step 4: Simplify right side
    2,402.57x = 3,979,732.33
  5. Step 5: Solve for x
    x = 3,979,732.33/2,402.57
  6. Step 6: Final answer
    x = 1,656.45

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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.