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Finding the Fourth Proportional to 2,565.98, 3,847.59 and 1,332.14

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Solution

The fourth proportional to 2,565.98, 3,847.59 and 1,332.14 is: 1,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.98 : 3,847.59 = 1,332.14 : x
  2. Step 2: Convert to fraction form
    2,565.98/3,847.59 = 1,332.14/x
  3. Step 3: Cross multiply
    2,565.98x = 3,847.59 × 1,332.14
  4. Step 4: Simplify right side
    2,565.98x = 5,125,538.16
  5. Step 5: Solve for x
    x = 5,125,538.16/2,565.98
  6. Step 6: Final answer
    x = 1,997.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.