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Finding the Fourth Proportional to 2,467, 3,701.24 and 1,426.76

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Solution

The fourth proportional to 2,467, 3,701.24 and 1,426.76 is: 2,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467 : 3,701.24 = 1,426.76 : x
  2. Step 2: Convert to fraction form
    2,467/3,701.24 = 1,426.76/x
  3. Step 3: Cross multiply
    2,467x = 3,701.24 × 1,426.76
  4. Step 4: Simplify right side
    2,467x = 5,280,781.18
  5. Step 5: Solve for x
    x = 5,280,781.18/2,467
  6. Step 6: Final answer
    x = 2,140.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.