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Finding the Fourth Proportional to 1,864.17, 2,796.80 and 767.97

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Solution

The fourth proportional to 1,864.17, 2,796.80 and 767.97 is: 1,152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.17 : 2,796.80 = 767.97 : x
  2. Step 2: Convert to fraction form
    1,864.17/2,796.80 = 767.97/x
  3. Step 3: Cross multiply
    1,864.17x = 2,796.80 × 767.97
  4. Step 4: Simplify right side
    1,864.17x = 2,147,854.66
  5. Step 5: Solve for x
    x = 2,147,854.66/1,864.17
  6. Step 6: Final answer
    x = 1,152.18

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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.