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Finding the Fourth Proportional to 3,072.48, 4,610.52 and 1,223.76

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Solution

The fourth proportional to 3,072.48, 4,610.52 and 1,223.76 is: 1,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.48 : 4,610.52 = 1,223.76 : x
  2. Step 2: Convert to fraction form
    3,072.48/4,610.52 = 1,223.76/x
  3. Step 3: Cross multiply
    3,072.48x = 4,610.52 × 1,223.76
  4. Step 4: Simplify right side
    3,072.48x = 5,642,169.96
  5. Step 5: Solve for x
    x = 5,642,169.96/3,072.48
  6. Step 6: Final answer
    x = 1,836.36

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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.