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Finding the Fourth Proportional to 2,517, 3,472.94 and 1,454.38

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Solution

The fourth proportional to 2,517, 3,472.94 and 1,454.38 is: 2,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517 : 3,472.94 = 1,454.38 : x
  2. Step 2: Convert to fraction form
    2,517/3,472.94 = 1,454.38/x
  3. Step 3: Cross multiply
    2,517x = 3,472.94 × 1,454.38
  4. Step 4: Simplify right side
    2,517x = 5,050,974.48
  5. Step 5: Solve for x
    x = 5,050,974.48/2,517
  6. Step 6: Final answer
    x = 2,006.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.