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Finding the Fourth Proportional to 2,565.50, 3,841.68 and 2,046.25

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Solution

The fourth proportional to 2,565.50, 3,841.68 and 2,046.25 is: 3,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.50 : 3,841.68 = 2,046.25 : x
  2. Step 2: Convert to fraction form
    2,565.50/3,841.68 = 2,046.25/x
  3. Step 3: Cross multiply
    2,565.50x = 3,841.68 × 2,046.25
  4. Step 4: Simplify right side
    2,565.50x = 7,861,037.70
  5. Step 5: Solve for x
    x = 7,861,037.70/2,565.50
  6. Step 6: Final answer
    x = 3,064.13

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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.