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Finding the Fourth Proportional to 2,002.13, 3,002.68 and 768.87

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Solution

The fourth proportional to 2,002.13, 3,002.68 and 768.87 is: 1,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.13 : 3,002.68 = 768.87 : x
  2. Step 2: Convert to fraction form
    2,002.13/3,002.68 = 768.87/x
  3. Step 3: Cross multiply
    2,002.13x = 3,002.68 × 768.87
  4. Step 4: Simplify right side
    2,002.13x = 2,308,664.17
  5. Step 5: Solve for x
    x = 2,308,664.17/2,002.13
  6. Step 6: Final answer
    x = 1,153.10

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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.