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Finding the Fourth Proportional to 2,449.23, 3,379.99 and 1,387

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Solution

The fourth proportional to 2,449.23, 3,379.99 and 1,387 is: 1,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.23 : 3,379.99 = 1,387 : x
  2. Step 2: Convert to fraction form
    2,449.23/3,379.99 = 1,387/x
  3. Step 3: Cross multiply
    2,449.23x = 3,379.99 × 1,387
  4. Step 4: Simplify right side
    2,449.23x = 4,688,046.13
  5. Step 5: Solve for x
    x = 4,688,046.13/2,449.23
  6. Step 6: Final answer
    x = 1,914.09

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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.