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Finding the Fourth Proportional to 2,462, 3,691.53 and 818.12

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Solution

The fourth proportional to 2,462, 3,691.53 and 818.12 is: 1,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462 : 3,691.53 = 818.12 : x
  2. Step 2: Convert to fraction form
    2,462/3,691.53 = 818.12/x
  3. Step 3: Cross multiply
    2,462x = 3,691.53 × 818.12
  4. Step 4: Simplify right side
    2,462x = 3,020,114.52
  5. Step 5: Solve for x
    x = 3,020,114.52/2,462
  6. Step 6: Final answer
    x = 1,226.69

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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.