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Finding the Fourth Proportional to 2,569.80, 3,854.97 and 838.02

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Solution

The fourth proportional to 2,569.80, 3,854.97 and 838.02 is: 1,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.80 : 3,854.97 = 838.02 : x
  2. Step 2: Convert to fraction form
    2,569.80/3,854.97 = 838.02/x
  3. Step 3: Cross multiply
    2,569.80x = 3,854.97 × 838.02
  4. Step 4: Simplify right side
    2,569.80x = 3,230,541.96
  5. Step 5: Solve for x
    x = 3,230,541.96/2,569.80
  6. Step 6: Final answer
    x = 1,257.12

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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.