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Finding the Fourth Proportional to 3,148.44, 4,722.82 and 1,200.80

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Solution

The fourth proportional to 3,148.44, 4,722.82 and 1,200.80 is: 1,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.44 : 4,722.82 = 1,200.80 : x
  2. Step 2: Convert to fraction form
    3,148.44/4,722.82 = 1,200.80/x
  3. Step 3: Cross multiply
    3,148.44x = 4,722.82 × 1,200.80
  4. Step 4: Simplify right side
    3,148.44x = 5,671,135.64
  5. Step 5: Solve for x
    x = 5,671,135.64/3,148.44
  6. Step 6: Final answer
    x = 1,801.25

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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.