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Finding the Fourth Proportional to 4,001.80, 6,003.60 and 1,228.60

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Solution

The fourth proportional to 4,001.80, 6,003.60 and 1,228.60 is: 1,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.80 : 6,003.60 = 1,228.60 : x
  2. Step 2: Convert to fraction form
    4,001.80/6,003.60 = 1,228.60/x
  3. Step 3: Cross multiply
    4,001.80x = 6,003.60 × 1,228.60
  4. Step 4: Simplify right side
    4,001.80x = 7,376,022.96
  5. Step 5: Solve for x
    x = 7,376,022.96/4,001.80
  6. Step 6: Final answer
    x = 1,843.18

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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.