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Finding the Fourth Proportional to 3,281.67, 4,917.03 and 2,306.03

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Solution

The fourth proportional to 3,281.67, 4,917.03 and 2,306.03 is: 3,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.67 : 4,917.03 = 2,306.03 : x
  2. Step 2: Convert to fraction form
    3,281.67/4,917.03 = 2,306.03/x
  3. Step 3: Cross multiply
    3,281.67x = 4,917.03 × 2,306.03
  4. Step 4: Simplify right side
    3,281.67x = 11,338,785.46
  5. Step 5: Solve for x
    x = 11,338,785.46/3,281.67
  6. Step 6: Final answer
    x = 3,455.19

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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.