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Finding the Fourth Proportional to 1,634.76, 2,451.36 and 801.72

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Solution

The fourth proportional to 1,634.76, 2,451.36 and 801.72 is: 1,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.76 : 2,451.36 = 801.72 : x
  2. Step 2: Convert to fraction form
    1,634.76/2,451.36 = 801.72/x
  3. Step 3: Cross multiply
    1,634.76x = 2,451.36 × 801.72
  4. Step 4: Simplify right side
    1,634.76x = 1,965,304.34
  5. Step 5: Solve for x
    x = 1,965,304.34/1,634.76
  6. Step 6: Final answer
    x = 1,202.20

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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.