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Finding the Fourth Proportional to 2,650.32, 3,973.94 and 800.88

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Solution

The fourth proportional to 2,650.32, 3,973.94 and 800.88 is: 1,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.32 : 3,973.94 = 800.88 : x
  2. Step 2: Convert to fraction form
    2,650.32/3,973.94 = 800.88/x
  3. Step 3: Cross multiply
    2,650.32x = 3,973.94 × 800.88
  4. Step 4: Simplify right side
    2,650.32x = 3,182,645.06
  5. Step 5: Solve for x
    x = 3,182,645.06/2,650.32
  6. Step 6: Final answer
    x = 1,200.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.