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Finding the Fourth Proportional to 2,254.93, 3,382.40 and 938.74

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Solution

The fourth proportional to 2,254.93, 3,382.40 and 938.74 is: 1,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.93 : 3,382.40 = 938.74 : x
  2. Step 2: Convert to fraction form
    2,254.93/3,382.40 = 938.74/x
  3. Step 3: Cross multiply
    2,254.93x = 3,382.40 × 938.74
  4. Step 4: Simplify right side
    2,254.93x = 3,175,194.18
  5. Step 5: Solve for x
    x = 3,175,194.18/2,254.93
  6. Step 6: Final answer
    x = 1,408.11

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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.