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Finding the Fourth Proportional to 2,254.66, 3,381.92 and 1,084.74

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Solution

The fourth proportional to 2,254.66, 3,381.92 and 1,084.74 is: 1,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.66 : 3,381.92 = 1,084.74 : x
  2. Step 2: Convert to fraction form
    2,254.66/3,381.92 = 1,084.74/x
  3. Step 3: Cross multiply
    2,254.66x = 3,381.92 × 1,084.74
  4. Step 4: Simplify right side
    2,254.66x = 3,668,503.90
  5. Step 5: Solve for x
    x = 3,668,503.90/2,254.66
  6. Step 6: Final answer
    x = 1,627.08

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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.