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Finding the Fourth Proportional to 2,343.44, 3,514.64 and 1,044.08

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Solution

The fourth proportional to 2,343.44, 3,514.64 and 1,044.08 is: 1,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.44 : 3,514.64 = 1,044.08 : x
  2. Step 2: Convert to fraction form
    2,343.44/3,514.64 = 1,044.08/x
  3. Step 3: Cross multiply
    2,343.44x = 3,514.64 × 1,044.08
  4. Step 4: Simplify right side
    2,343.44x = 3,669,565.33
  5. Step 5: Solve for x
    x = 3,669,565.33/2,343.44
  6. Step 6: Final answer
    x = 1,565.89

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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.