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Finding the Fourth Proportional to 2,961.74, 4,438.16 and 2,342.90

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Solution

The fourth proportional to 2,961.74, 4,438.16 and 2,342.90 is: 3,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.74 : 4,438.16 = 2,342.90 : x
  2. Step 2: Convert to fraction form
    2,961.74/4,438.16 = 2,342.90/x
  3. Step 3: Cross multiply
    2,961.74x = 4,438.16 × 2,342.90
  4. Step 4: Simplify right side
    2,961.74x = 10,398,165.06
  5. Step 5: Solve for x
    x = 10,398,165.06/2,961.74
  6. Step 6: Final answer
    x = 3,510.83

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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.