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Finding the Fourth Proportional to 2,538.28, 3,502.78 and 1,434.28

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Solution

The fourth proportional to 2,538.28, 3,502.78 and 1,434.28 is: 1,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.28 : 3,502.78 = 1,434.28 : x
  2. Step 2: Convert to fraction form
    2,538.28/3,502.78 = 1,434.28/x
  3. Step 3: Cross multiply
    2,538.28x = 3,502.78 × 1,434.28
  4. Step 4: Simplify right side
    2,538.28x = 5,023,967.30
  5. Step 5: Solve for x
    x = 5,023,967.30/2,538.28
  6. Step 6: Final answer
    x = 1,979.28

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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.