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Finding the Fourth Proportional to 2,302.92, 3,178.04 and 1,254.98

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Solution

The fourth proportional to 2,302.92, 3,178.04 and 1,254.98 is: 1,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.92 : 3,178.04 = 1,254.98 : x
  2. Step 2: Convert to fraction form
    2,302.92/3,178.04 = 1,254.98/x
  3. Step 3: Cross multiply
    2,302.92x = 3,178.04 × 1,254.98
  4. Step 4: Simplify right side
    2,302.92x = 3,988,387.72
  5. Step 5: Solve for x
    x = 3,988,387.72/2,302.92
  6. Step 6: Final answer
    x = 1,731.88

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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.