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Finding the Fourth Proportional to 2,411.92, 3,618.12 and 768.04

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Solution

The fourth proportional to 2,411.92, 3,618.12 and 768.04 is: 1,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.92 : 3,618.12 = 768.04 : x
  2. Step 2: Convert to fraction form
    2,411.92/3,618.12 = 768.04/x
  3. Step 3: Cross multiply
    2,411.92x = 3,618.12 × 768.04
  4. Step 4: Simplify right side
    2,411.92x = 2,778,860.88
  5. Step 5: Solve for x
    x = 2,778,860.88/2,411.92
  6. Step 6: Final answer
    x = 1,152.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.