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Finding the Fourth Proportional to 2,048.48, 3,069.12 and 1,227.68

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Solution

The fourth proportional to 2,048.48, 3,069.12 and 1,227.68 is: 1,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.48 : 3,069.12 = 1,227.68 : x
  2. Step 2: Convert to fraction form
    2,048.48/3,069.12 = 1,227.68/x
  3. Step 3: Cross multiply
    2,048.48x = 3,069.12 × 1,227.68
  4. Step 4: Simplify right side
    2,048.48x = 3,767,897.24
  5. Step 5: Solve for x
    x = 3,767,897.24/2,048.48
  6. Step 6: Final answer
    x = 1,839.36

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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.