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Finding the Fourth Proportional to 2,565.62, 3,846.54 and 1,332.26

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Solution

The fourth proportional to 2,565.62, 3,846.54 and 1,332.26 is: 1,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.62 : 3,846.54 = 1,332.26 : x
  2. Step 2: Convert to fraction form
    2,565.62/3,846.54 = 1,332.26/x
  3. Step 3: Cross multiply
    2,565.62x = 3,846.54 × 1,332.26
  4. Step 4: Simplify right side
    2,565.62x = 5,124,591.38
  5. Step 5: Solve for x
    x = 5,124,591.38/2,565.62
  6. Step 6: Final answer
    x = 1,997.41

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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.