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Finding the Fourth Proportional to 2,512.64, 3,768.96 and 781.13

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Solution

The fourth proportional to 2,512.64, 3,768.96 and 781.13 is: 1,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.64 : 3,768.96 = 781.13 : x
  2. Step 2: Convert to fraction form
    2,512.64/3,768.96 = 781.13/x
  3. Step 3: Cross multiply
    2,512.64x = 3,768.96 × 781.13
  4. Step 4: Simplify right side
    2,512.64x = 2,944,047.72
  5. Step 5: Solve for x
    x = 2,944,047.72/2,512.64
  6. Step 6: Final answer
    x = 1,171.70

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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.