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Finding the Fourth Proportional to 2,013.76, 3,019.20 and 1,243.52

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Solution

The fourth proportional to 2,013.76, 3,019.20 and 1,243.52 is: 1,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.76 : 3,019.20 = 1,243.52 : x
  2. Step 2: Convert to fraction form
    2,013.76/3,019.20 = 1,243.52/x
  3. Step 3: Cross multiply
    2,013.76x = 3,019.20 × 1,243.52
  4. Step 4: Simplify right side
    2,013.76x = 3,754,435.58
  5. Step 5: Solve for x
    x = 3,754,435.58/2,013.76
  6. Step 6: Final answer
    x = 1,864.39

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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.