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Finding the Fourth Proportional to 2,314.77, 3,470.71 and 1,082.43

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Solution

The fourth proportional to 2,314.77, 3,470.71 and 1,082.43 is: 1,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.77 : 3,470.71 = 1,082.43 : x
  2. Step 2: Convert to fraction form
    2,314.77/3,470.71 = 1,082.43/x
  3. Step 3: Cross multiply
    2,314.77x = 3,470.71 × 1,082.43
  4. Step 4: Simplify right side
    2,314.77x = 3,756,800.63
  5. Step 5: Solve for x
    x = 3,756,800.63/2,314.77
  6. Step 6: Final answer
    x = 1,622.97

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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.