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Finding the Fourth Proportional to 2,254.74, 3,381.19 and 1,376.90

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Solution

The fourth proportional to 2,254.74, 3,381.19 and 1,376.90 is: 2,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.74 : 3,381.19 = 1,376.90 : x
  2. Step 2: Convert to fraction form
    2,254.74/3,381.19 = 1,376.90/x
  3. Step 3: Cross multiply
    2,254.74x = 3,381.19 × 1,376.90
  4. Step 4: Simplify right side
    2,254.74x = 4,655,560.59
  5. Step 5: Solve for x
    x = 4,655,560.59/2,254.74
  6. Step 6: Final answer
    x = 2,064.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.