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Finding the Fourth Proportional to 2,549.60, 3,821.18 and 1,454.58

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Solution

The fourth proportional to 2,549.60, 3,821.18 and 1,454.58 is: 2,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.60 : 3,821.18 = 1,454.58 : x
  2. Step 2: Convert to fraction form
    2,549.60/3,821.18 = 1,454.58/x
  3. Step 3: Cross multiply
    2,549.60x = 3,821.18 × 1,454.58
  4. Step 4: Simplify right side
    2,549.60x = 5,558,204.73
  5. Step 5: Solve for x
    x = 5,558,204.73/2,549.60
  6. Step 6: Final answer
    x = 2,180.03

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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.