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Finding the Fourth Proportional to 2,537.76, 3,502.08 and 2,304.48

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Solution

The fourth proportional to 2,537.76, 3,502.08 and 2,304.48 is: 3,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.76 : 3,502.08 = 2,304.48 : x
  2. Step 2: Convert to fraction form
    2,537.76/3,502.08 = 2,304.48/x
  3. Step 3: Cross multiply
    2,537.76x = 3,502.08 × 2,304.48
  4. Step 4: Simplify right side
    2,537.76x = 8,070,473.32
  5. Step 5: Solve for x
    x = 8,070,473.32/2,537.76
  6. Step 6: Final answer
    x = 3,180.16

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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.