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Finding the Fourth Proportional to 2,462.01, 3,691.07 and 1,228.79

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Solution

The fourth proportional to 2,462.01, 3,691.07 and 1,228.79 is: 1,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.01 : 3,691.07 = 1,228.79 : x
  2. Step 2: Convert to fraction form
    2,462.01/3,691.07 = 1,228.79/x
  3. Step 3: Cross multiply
    2,462.01x = 3,691.07 × 1,228.79
  4. Step 4: Simplify right side
    2,462.01x = 4,535,536.83
  5. Step 5: Solve for x
    x = 4,535,536.83/2,462.01
  6. Step 6: Final answer
    x = 1,842.21

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1.5x scale

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.