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Finding the Fourth Proportional to 2,414.10, 3,617.10 and 2,065.80

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Solution

The fourth proportional to 2,414.10, 3,617.10 and 2,065.80 is: 3,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.10 : 3,617.10 = 2,065.80 : x
  2. Step 2: Convert to fraction form
    2,414.10/3,617.10 = 2,065.80/x
  3. Step 3: Cross multiply
    2,414.10x = 3,617.10 × 2,065.80
  4. Step 4: Simplify right side
    2,414.10x = 7,472,205.18
  5. Step 5: Solve for x
    x = 7,472,205.18/2,414.10
  6. Step 6: Final answer
    x = 3,095.23

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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.