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Finding the Fourth Proportional to 2,454.56, 3,704.12 and 2,381.60

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Solution

The fourth proportional to 2,454.56, 3,704.12 and 2,381.60 is: 3,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.56 : 3,704.12 = 2,381.60 : x
  2. Step 2: Convert to fraction form
    2,454.56/3,704.12 = 2,381.60/x
  3. Step 3: Cross multiply
    2,454.56x = 3,704.12 × 2,381.60
  4. Step 4: Simplify right side
    2,454.56x = 8,821,732.19
  5. Step 5: Solve for x
    x = 8,821,732.19/2,454.56
  6. Step 6: Final answer
    x = 3,594.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.