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Finding the Fourth Proportional to 3,801.67, 5,703.42 and 1,204.61

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Solution

The fourth proportional to 3,801.67, 5,703.42 and 1,204.61 is: 1,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.67 : 5,703.42 = 1,204.61 : x
  2. Step 2: Convert to fraction form
    3,801.67/5,703.42 = 1,204.61/x
  3. Step 3: Cross multiply
    3,801.67x = 5,703.42 × 1,204.61
  4. Step 4: Simplify right side
    3,801.67x = 6,870,396.77
  5. Step 5: Solve for x
    x = 6,870,396.77/3,801.67
  6. Step 6: Final answer
    x = 1,807.20

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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.