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Finding the Fourth Proportional to 1,565.44, 2,344.10 and 1,239.82

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Solution

The fourth proportional to 1,565.44, 2,344.10 and 1,239.82 is: 1,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.44 : 2,344.10 = 1,239.82 : x
  2. Step 2: Convert to fraction form
    1,565.44/2,344.10 = 1,239.82/x
  3. Step 3: Cross multiply
    1,565.44x = 2,344.10 × 1,239.82
  4. Step 4: Simplify right side
    1,565.44x = 2,906,262.06
  5. Step 5: Solve for x
    x = 2,906,262.06/1,565.44
  6. Step 6: Final answer
    x = 1,856.51

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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.