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Finding the Fourth Proportional to 2,411.92, 3,617.88 and 768.97

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Solution

The fourth proportional to 2,411.92, 3,617.88 and 768.97 is: 1,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.92 : 3,617.88 = 768.97 : x
  2. Step 2: Convert to fraction form
    2,411.92/3,617.88 = 768.97/x
  3. Step 3: Cross multiply
    2,411.92x = 3,617.88 × 768.97
  4. Step 4: Simplify right side
    2,411.92x = 2,782,041.18
  5. Step 5: Solve for x
    x = 2,782,041.18/2,411.92
  6. Step 6: Final answer
    x = 1,153.46

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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.