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Finding the Fourth Proportional to 2,569.76, 3,854.64 and 838.52

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Solution

The fourth proportional to 2,569.76, 3,854.64 and 838.52 is: 1,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.76 : 3,854.64 = 838.52 : x
  2. Step 2: Convert to fraction form
    2,569.76/3,854.64 = 838.52/x
  3. Step 3: Cross multiply
    2,569.76x = 3,854.64 × 838.52
  4. Step 4: Simplify right side
    2,569.76x = 3,232,192.73
  5. Step 5: Solve for x
    x = 3,232,192.73/2,569.76
  6. Step 6: Final answer
    x = 1,257.78

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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.