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Finding the Fourth Proportional to 2,342.52, 3,514.56 and 1,565.64

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Solution

The fourth proportional to 2,342.52, 3,514.56 and 1,565.64 is: 2,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.52 : 3,514.56 = 1,565.64 : x
  2. Step 2: Convert to fraction form
    2,342.52/3,514.56 = 1,565.64/x
  3. Step 3: Cross multiply
    2,342.52x = 3,514.56 × 1,565.64
  4. Step 4: Simplify right side
    2,342.52x = 5,502,535.72
  5. Step 5: Solve for x
    x = 5,502,535.72/2,342.52
  6. Step 6: Final answer
    x = 2,348.98

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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.