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Finding the Fourth Proportional to 2,418.96, 3,337.90 and 1,424.17

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Solution

The fourth proportional to 2,418.96, 3,337.90 and 1,424.17 is: 1,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.96 : 3,337.90 = 1,424.17 : x
  2. Step 2: Convert to fraction form
    2,418.96/3,337.90 = 1,424.17/x
  3. Step 3: Cross multiply
    2,418.96x = 3,337.90 × 1,424.17
  4. Step 4: Simplify right side
    2,418.96x = 4,753,737.04
  5. Step 5: Solve for x
    x = 4,753,737.04/2,418.96
  6. Step 6: Final answer
    x = 1,965.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.