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Finding the Fourth Proportional to 2,411.15, 3,617.22 and 1,371.65

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Solution

The fourth proportional to 2,411.15, 3,617.22 and 1,371.65 is: 2,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.15 : 3,617.22 = 1,371.65 : x
  2. Step 2: Convert to fraction form
    2,411.15/3,617.22 = 1,371.65/x
  3. Step 3: Cross multiply
    2,411.15x = 3,617.22 × 1,371.65
  4. Step 4: Simplify right side
    2,411.15x = 4,961,559.81
  5. Step 5: Solve for x
    x = 4,961,559.81/2,411.15
  6. Step 6: Final answer
    x = 2,057.76

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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.