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Finding the Fourth Proportional to 2,381.67, 3,287.55 and 1,387.26

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Solution

The fourth proportional to 2,381.67, 3,287.55 and 1,387.26 is: 1,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.67 : 3,287.55 = 1,387.26 : x
  2. Step 2: Convert to fraction form
    2,381.67/3,287.55 = 1,387.26/x
  3. Step 3: Cross multiply
    2,381.67x = 3,287.55 × 1,387.26
  4. Step 4: Simplify right side
    2,381.67x = 4,560,686.61
  5. Step 5: Solve for x
    x = 4,560,686.61/2,381.67
  6. Step 6: Final answer
    x = 1,914.91

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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.