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Finding the Fourth Proportional to 2,542.30, 3,813.90 and 898.90

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Solution

The fourth proportional to 2,542.30, 3,813.90 and 898.90 is: 1,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.30 : 3,813.90 = 898.90 : x
  2. Step 2: Convert to fraction form
    2,542.30/3,813.90 = 898.90/x
  3. Step 3: Cross multiply
    2,542.30x = 3,813.90 × 898.90
  4. Step 4: Simplify right side
    2,542.30x = 3,428,314.71
  5. Step 5: Solve for x
    x = 3,428,314.71/2,542.30
  6. Step 6: Final answer
    x = 1,348.51

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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.