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Finding the Fourth Proportional to 2,281.98, 3,149.19 and 1,398.27

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Solution

The fourth proportional to 2,281.98, 3,149.19 and 1,398.27 is: 1,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.98 : 3,149.19 = 1,398.27 : x
  2. Step 2: Convert to fraction form
    2,281.98/3,149.19 = 1,398.27/x
  3. Step 3: Cross multiply
    2,281.98x = 3,149.19 × 1,398.27
  4. Step 4: Simplify right side
    2,281.98x = 4,403,417.90
  5. Step 5: Solve for x
    x = 4,403,417.90/2,281.98
  6. Step 6: Final answer
    x = 1,929.65

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