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Finding the Fourth Proportional to 2,261.08, 3,391.50 and 800.17

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Solution

The fourth proportional to 2,261.08, 3,391.50 and 800.17 is: 1,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.08 : 3,391.50 = 800.17 : x
  2. Step 2: Convert to fraction form
    2,261.08/3,391.50 = 800.17/x
  3. Step 3: Cross multiply
    2,261.08x = 3,391.50 × 800.17
  4. Step 4: Simplify right side
    2,261.08x = 2,713,776.56
  5. Step 5: Solve for x
    x = 2,713,776.56/2,261.08
  6. Step 6: Final answer
    x = 1,200.21

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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.