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Finding the Fourth Proportional to 2,565.84, 3,845.20 and 1,467.88

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Solution

The fourth proportional to 2,565.84, 3,845.20 and 1,467.88 is: 2,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.84 : 3,845.20 = 1,467.88 : x
  2. Step 2: Convert to fraction form
    2,565.84/3,845.20 = 1,467.88/x
  3. Step 3: Cross multiply
    2,565.84x = 3,845.20 × 1,467.88
  4. Step 4: Simplify right side
    2,565.84x = 5,644,292.18
  5. Step 5: Solve for x
    x = 5,644,292.18/2,565.84
  6. Step 6: Final answer
    x = 2,199.78

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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.