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Finding the Fourth Proportional to 2,446.72, 3,652.18 and 2,102.28

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Solution

The fourth proportional to 2,446.72, 3,652.18 and 2,102.28 is: 3,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.72 : 3,652.18 = 2,102.28 : x
  2. Step 2: Convert to fraction form
    2,446.72/3,652.18 = 2,102.28/x
  3. Step 3: Cross multiply
    2,446.72x = 3,652.18 × 2,102.28
  4. Step 4: Simplify right side
    2,446.72x = 7,677,904.97
  5. Step 5: Solve for x
    x = 7,677,904.97/2,446.72
  6. Step 6: Final answer
    x = 3,138.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.