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Finding the Fourth Proportional to 2,542.74, 3,814.42 and 898.95

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Solution

The fourth proportional to 2,542.74, 3,814.42 and 898.95 is: 1,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.74 : 3,814.42 = 898.95 : x
  2. Step 2: Convert to fraction form
    2,542.74/3,814.42 = 898.95/x
  3. Step 3: Cross multiply
    2,542.74x = 3,814.42 × 898.95
  4. Step 4: Simplify right side
    2,542.74x = 3,428,972.86
  5. Step 5: Solve for x
    x = 3,428,972.86/2,542.74
  6. Step 6: Final answer
    x = 1,348.53

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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.