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Finding the Fourth Proportional to 2,462.38, 3,400.50 and 2,106.24

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Solution

The fourth proportional to 2,462.38, 3,400.50 and 2,106.24 is: 2,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.38 : 3,400.50 = 2,106.24 : x
  2. Step 2: Convert to fraction form
    2,462.38/3,400.50 = 2,106.24/x
  3. Step 3: Cross multiply
    2,462.38x = 3,400.50 × 2,106.24
  4. Step 4: Simplify right side
    2,462.38x = 7,162,269.12
  5. Step 5: Solve for x
    x = 7,162,269.12/2,462.38
  6. Step 6: Final answer
    x = 2,908.68

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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.