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Finding the Fourth Proportional to 2,512.14, 3,767.93 and 780.63

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Solution

The fourth proportional to 2,512.14, 3,767.93 and 780.63 is: 1,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.14 : 3,767.93 = 780.63 : x
  2. Step 2: Convert to fraction form
    2,512.14/3,767.93 = 780.63/x
  3. Step 3: Cross multiply
    2,512.14x = 3,767.93 × 780.63
  4. Step 4: Simplify right side
    2,512.14x = 2,941,359.20
  5. Step 5: Solve for x
    x = 2,941,359.20/2,512.14
  6. Step 6: Final answer
    x = 1,170.86

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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.