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Finding the Fourth Proportional to 2,476.54, 3,418 and 1,414.30

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Solution

The fourth proportional to 2,476.54, 3,418 and 1,414.30 is: 1,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.54 : 3,418 = 1,414.30 : x
  2. Step 2: Convert to fraction form
    2,476.54/3,418 = 1,414.30/x
  3. Step 3: Cross multiply
    2,476.54x = 3,418 × 1,414.30
  4. Step 4: Simplify right side
    2,476.54x = 4,834,077.40
  5. Step 5: Solve for x
    x = 4,834,077.40/2,476.54
  6. Step 6: Final answer
    x = 1,951.95

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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.