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Finding the Fourth Proportional to 3,184.70, 4,400.97 and 2,397.38

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Solution

The fourth proportional to 3,184.70, 4,400.97 and 2,397.38 is: 3,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.70 : 4,400.97 = 2,397.38 : x
  2. Step 2: Convert to fraction form
    3,184.70/4,400.97 = 2,397.38/x
  3. Step 3: Cross multiply
    3,184.70x = 4,400.97 × 2,397.38
  4. Step 4: Simplify right side
    3,184.70x = 10,550,797.46
  5. Step 5: Solve for x
    x = 10,550,797.46/3,184.70
  6. Step 6: Final answer
    x = 3,312.96

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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.