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Finding the Fourth Proportional to 2,343.46, 3,515.50 and 862.48

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Solution

The fourth proportional to 2,343.46, 3,515.50 and 862.48 is: 1,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.46 : 3,515.50 = 862.48 : x
  2. Step 2: Convert to fraction form
    2,343.46/3,515.50 = 862.48/x
  3. Step 3: Cross multiply
    2,343.46x = 3,515.50 × 862.48
  4. Step 4: Simplify right side
    2,343.46x = 3,032,048.44
  5. Step 5: Solve for x
    x = 3,032,048.44/2,343.46
  6. Step 6: Final answer
    x = 1,293.83

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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.