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Finding the Fourth Proportional to 2,569.20, 3,854.40 and 837.84

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Solution

The fourth proportional to 2,569.20, 3,854.40 and 837.84 is: 1,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.20 : 3,854.40 = 837.84 : x
  2. Step 2: Convert to fraction form
    2,569.20/3,854.40 = 837.84/x
  3. Step 3: Cross multiply
    2,569.20x = 3,854.40 × 837.84
  4. Step 4: Simplify right side
    2,569.20x = 3,229,370.50
  5. Step 5: Solve for x
    x = 3,229,370.50/2,569.20
  6. Step 6: Final answer
    x = 1,256.96

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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.