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Finding the Fourth Proportional to 2,302.90, 3,177.99 and 1,254.97

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Solution

The fourth proportional to 2,302.90, 3,177.99 and 1,254.97 is: 1,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.90 : 3,177.99 = 1,254.97 : x
  2. Step 2: Convert to fraction form
    2,302.90/3,177.99 = 1,254.97/x
  3. Step 3: Cross multiply
    2,302.90x = 3,177.99 × 1,254.97
  4. Step 4: Simplify right side
    2,302.90x = 3,988,282.11
  5. Step 5: Solve for x
    x = 3,988,282.11/2,302.90
  6. Step 6: Final answer
    x = 1,731.85

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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.