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Finding the Fourth Proportional to 3,233.74, 4,854.91 and 1,919.92

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Solution

The fourth proportional to 3,233.74, 4,854.91 and 1,919.92 is: 2,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.74 : 4,854.91 = 1,919.92 : x
  2. Step 2: Convert to fraction form
    3,233.74/4,854.91 = 1,919.92/x
  3. Step 3: Cross multiply
    3,233.74x = 4,854.91 × 1,919.92
  4. Step 4: Simplify right side
    3,233.74x = 9,321,038.81
  5. Step 5: Solve for x
    x = 9,321,038.81/3,233.74
  6. Step 6: Final answer
    x = 2,882.43

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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.