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Finding the Fourth Proportional to 2,048.78, 3,073.20 and 680.78

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Solution

The fourth proportional to 2,048.78, 3,073.20 and 680.78 is: 1,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.78 : 3,073.20 = 680.78 : x
  2. Step 2: Convert to fraction form
    2,048.78/3,073.20 = 680.78/x
  3. Step 3: Cross multiply
    2,048.78x = 3,073.20 × 680.78
  4. Step 4: Simplify right side
    2,048.78x = 2,092,173.10
  5. Step 5: Solve for x
    x = 2,092,173.10/2,048.78
  6. Step 6: Final answer
    x = 1,021.18

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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.