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Finding the Fourth Proportional to 2,454.56, 3,679.76 and 1,066.85

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Solution

The fourth proportional to 2,454.56, 3,679.76 and 1,066.85 is: 1,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.56 : 3,679.76 = 1,066.85 : x
  2. Step 2: Convert to fraction form
    2,454.56/3,679.76 = 1,066.85/x
  3. Step 3: Cross multiply
    2,454.56x = 3,679.76 × 1,066.85
  4. Step 4: Simplify right side
    2,454.56x = 3,925,751.96
  5. Step 5: Solve for x
    x = 3,925,751.96/2,454.56
  6. Step 6: Final answer
    x = 1,599.37

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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.