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Finding the Fourth Proportional to 2,269.86, 3,401.57 and 952.19

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Solution

The fourth proportional to 2,269.86, 3,401.57 and 952.19 is: 1,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.86 : 3,401.57 = 952.19 : x
  2. Step 2: Convert to fraction form
    2,269.86/3,401.57 = 952.19/x
  3. Step 3: Cross multiply
    2,269.86x = 3,401.57 × 952.19
  4. Step 4: Simplify right side
    2,269.86x = 3,238,919.17
  5. Step 5: Solve for x
    x = 3,238,919.17/2,269.86
  6. Step 6: Final answer
    x = 1,426.92

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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.