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Finding the Fourth Proportional to 2,065.62, 3,098.56 and 833.04

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Solution

The fourth proportional to 2,065.62, 3,098.56 and 833.04 is: 1,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.62 : 3,098.56 = 833.04 : x
  2. Step 2: Convert to fraction form
    2,065.62/3,098.56 = 833.04/x
  3. Step 3: Cross multiply
    2,065.62x = 3,098.56 × 833.04
  4. Step 4: Simplify right side
    2,065.62x = 2,581,224.42
  5. Step 5: Solve for x
    x = 2,581,224.42/2,065.62
  6. Step 6: Final answer
    x = 1,249.61

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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.