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Finding the Fourth Proportional to 2,454.91, 3,680.24 and 810.41

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Solution

The fourth proportional to 2,454.91, 3,680.24 and 810.41 is: 1,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.91 : 3,680.24 = 810.41 : x
  2. Step 2: Convert to fraction form
    2,454.91/3,680.24 = 810.41/x
  3. Step 3: Cross multiply
    2,454.91x = 3,680.24 × 810.41
  4. Step 4: Simplify right side
    2,454.91x = 2,982,480.85
  5. Step 5: Solve for x
    x = 2,982,480.85/2,454.91
  6. Step 6: Final answer
    x = 1,214.91

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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.