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Finding the Fourth Proportional to 2,414.66, 3,331.68 and 1,470.94

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Solution

The fourth proportional to 2,414.66, 3,331.68 and 1,470.94 is: 2,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.66 : 3,331.68 = 1,470.94 : x
  2. Step 2: Convert to fraction form
    2,414.66/3,331.68 = 1,470.94/x
  3. Step 3: Cross multiply
    2,414.66x = 3,331.68 × 1,470.94
  4. Step 4: Simplify right side
    2,414.66x = 4,900,701.38
  5. Step 5: Solve for x
    x = 4,900,701.38/2,414.66
  6. Step 6: Final answer
    x = 2,029.56

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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.