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Finding the Fourth Proportional to 2,707.60, 3,732.96 and 2,209.36

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Solution

The fourth proportional to 2,707.60, 3,732.96 and 2,209.36 is: 3,046.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.60 : 3,732.96 = 2,209.36 : x
  2. Step 2: Convert to fraction form
    2,707.60/3,732.96 = 2,209.36/x
  3. Step 3: Cross multiply
    2,707.60x = 3,732.96 × 2,209.36
  4. Step 4: Simplify right side
    2,707.60x = 8,247,452.51
  5. Step 5: Solve for x
    x = 8,247,452.51/2,707.60
  6. Step 6: Final answer
    x = 3,046.04

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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.