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Finding the Fourth Proportional to 2,454.71, 3,679.63 and 1,220.27

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Solution

The fourth proportional to 2,454.71, 3,679.63 and 1,220.27 is: 1,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.71 : 3,679.63 = 1,220.27 : x
  2. Step 2: Convert to fraction form
    2,454.71/3,679.63 = 1,220.27/x
  3. Step 3: Cross multiply
    2,454.71x = 3,679.63 × 1,220.27
  4. Step 4: Simplify right side
    2,454.71x = 4,490,120.65
  5. Step 5: Solve for x
    x = 4,490,120.65/2,454.71
  6. Step 6: Final answer
    x = 1,829.19

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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.