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Finding the Fourth Proportional to 2,233.80, 3,349.98 and 847.26

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Solution

The fourth proportional to 2,233.80, 3,349.98 and 847.26 is: 1,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.80 : 3,349.98 = 847.26 : x
  2. Step 2: Convert to fraction form
    2,233.80/3,349.98 = 847.26/x
  3. Step 3: Cross multiply
    2,233.80x = 3,349.98 × 847.26
  4. Step 4: Simplify right side
    2,233.80x = 2,838,304.05
  5. Step 5: Solve for x
    x = 2,838,304.05/2,233.80
  6. Step 6: Final answer
    x = 1,270.62

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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.