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Finding the Fourth Proportional to 2,342.28, 3,514.28 and 1,108.76

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Solution

The fourth proportional to 2,342.28, 3,514.28 and 1,108.76 is: 1,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.28 : 3,514.28 = 1,108.76 : x
  2. Step 2: Convert to fraction form
    2,342.28/3,514.28 = 1,108.76/x
  3. Step 3: Cross multiply
    2,342.28x = 3,514.28 × 1,108.76
  4. Step 4: Simplify right side
    2,342.28x = 3,896,493.09
  5. Step 5: Solve for x
    x = 3,896,493.09/2,342.28
  6. Step 6: Final answer
    x = 1,663.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.