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Finding the Fourth Proportional to 2,463.58, 3,695.96 and 820.14

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Solution

The fourth proportional to 2,463.58, 3,695.96 and 820.14 is: 1,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.58 : 3,695.96 = 820.14 : x
  2. Step 2: Convert to fraction form
    2,463.58/3,695.96 = 820.14/x
  3. Step 3: Cross multiply
    2,463.58x = 3,695.96 × 820.14
  4. Step 4: Simplify right side
    2,463.58x = 3,031,213.61
  5. Step 5: Solve for x
    x = 3,031,213.61/2,463.58
  6. Step 6: Final answer
    x = 1,230.41

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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.