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Finding the Fourth Proportional to 2,337.68, 3,226.92 and 1,406

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Solution

The fourth proportional to 2,337.68, 3,226.92 and 1,406 is: 1,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.68 : 3,226.92 = 1,406 : x
  2. Step 2: Convert to fraction form
    2,337.68/3,226.92 = 1,406/x
  3. Step 3: Cross multiply
    2,337.68x = 3,226.92 × 1,406
  4. Step 4: Simplify right side
    2,337.68x = 4,537,049.52
  5. Step 5: Solve for x
    x = 4,537,049.52/2,337.68
  6. Step 6: Final answer
    x = 1,940.83

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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.