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Finding the Fourth Proportional to 2,342.81, 3,514.68 and 1,044.29

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Solution

The fourth proportional to 2,342.81, 3,514.68 and 1,044.29 is: 1,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.81 : 3,514.68 = 1,044.29 : x
  2. Step 2: Convert to fraction form
    2,342.81/3,514.68 = 1,044.29/x
  3. Step 3: Cross multiply
    2,342.81x = 3,514.68 × 1,044.29
  4. Step 4: Simplify right side
    2,342.81x = 3,670,353.96
  5. Step 5: Solve for x
    x = 3,670,353.96/2,342.81
  6. Step 6: Final answer
    x = 1,566.64

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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.