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Finding the Fourth Proportional to 2,263.52, 3,394.67 and 801.87

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Solution

The fourth proportional to 2,263.52, 3,394.67 and 801.87 is: 1,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.52 : 3,394.67 = 801.87 : x
  2. Step 2: Convert to fraction form
    2,263.52/3,394.67 = 801.87/x
  3. Step 3: Cross multiply
    2,263.52x = 3,394.67 × 801.87
  4. Step 4: Simplify right side
    2,263.52x = 2,722,080.02
  5. Step 5: Solve for x
    x = 2,722,080.02/2,263.52
  6. Step 6: Final answer
    x = 1,202.59

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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.