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Finding the Fourth Proportional to 2,431.57, 3,378.22 and 2,402.41

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Solution

The fourth proportional to 2,431.57, 3,378.22 and 2,402.41 is: 3,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.57 : 3,378.22 = 2,402.41 : x
  2. Step 2: Convert to fraction form
    2,431.57/3,378.22 = 2,402.41/x
  3. Step 3: Cross multiply
    2,431.57x = 3,378.22 × 2,402.41
  4. Step 4: Simplify right side
    2,431.57x = 8,115,869.51
  5. Step 5: Solve for x
    x = 8,115,869.51/2,431.57
  6. Step 6: Final answer
    x = 3,337.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.