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Finding the Fourth Proportional to 2,426.85, 3,640.49 and 1,039.87

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Solution

The fourth proportional to 2,426.85, 3,640.49 and 1,039.87 is: 1,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.85 : 3,640.49 = 1,039.87 : x
  2. Step 2: Convert to fraction form
    2,426.85/3,640.49 = 1,039.87/x
  3. Step 3: Cross multiply
    2,426.85x = 3,640.49 × 1,039.87
  4. Step 4: Simplify right side
    2,426.85x = 3,785,636.34
  5. Step 5: Solve for x
    x = 3,785,636.34/2,426.85
  6. Step 6: Final answer
    x = 1,559.90

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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.