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Finding the Fourth Proportional to 2,302.91, 3,178.01 and 1,254.97

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Solution

The fourth proportional to 2,302.91, 3,178.01 and 1,254.97 is: 1,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.91 : 3,178.01 = 1,254.97 : x
  2. Step 2: Convert to fraction form
    2,302.91/3,178.01 = 1,254.97/x
  3. Step 3: Cross multiply
    2,302.91x = 3,178.01 × 1,254.97
  4. Step 4: Simplify right side
    2,302.91x = 3,988,307.21
  5. Step 5: Solve for x
    x = 3,988,307.21/2,302.91
  6. Step 6: Final answer
    x = 1,731.86

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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.