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Finding the Fourth Proportional to 2,507.62, 3,743.48 and 2,179.66

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Solution

The fourth proportional to 2,507.62, 3,743.48 and 2,179.66 is: 3,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.62 : 3,743.48 = 2,179.66 : x
  2. Step 2: Convert to fraction form
    2,507.62/3,743.48 = 2,179.66/x
  3. Step 3: Cross multiply
    2,507.62x = 3,743.48 × 2,179.66
  4. Step 4: Simplify right side
    2,507.62x = 8,159,513.62
  5. Step 5: Solve for x
    x = 8,159,513.62/2,507.62
  6. Step 6: Final answer
    x = 3,253.89

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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.