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Finding the Fourth Proportional to 3,200.32, 4,801.86 and 1,121.82

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Solution

The fourth proportional to 3,200.32, 4,801.86 and 1,121.82 is: 1,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.32 : 4,801.86 = 1,121.82 : x
  2. Step 2: Convert to fraction form
    3,200.32/4,801.86 = 1,121.82/x
  3. Step 3: Cross multiply
    3,200.32x = 4,801.86 × 1,121.82
  4. Step 4: Simplify right side
    3,200.32x = 5,386,822.59
  5. Step 5: Solve for x
    x = 5,386,822.59/3,200.32
  6. Step 6: Final answer
    x = 1,683.21

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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.