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Finding the Fourth Proportional to 2,463.70, 3,695.20 and 820.32

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Solution

The fourth proportional to 2,463.70, 3,695.20 and 820.32 is: 1,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.70 : 3,695.20 = 820.32 : x
  2. Step 2: Convert to fraction form
    2,463.70/3,695.20 = 820.32/x
  3. Step 3: Cross multiply
    2,463.70x = 3,695.20 × 820.32
  4. Step 4: Simplify right side
    2,463.70x = 3,031,246.46
  5. Step 5: Solve for x
    x = 3,031,246.46/2,463.70
  6. Step 6: Final answer
    x = 1,230.36

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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.