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Finding the Fourth Proportional to 1,794.38, 2,686.68 and 926.87

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Solution

The fourth proportional to 1,794.38, 2,686.68 and 926.87 is: 1,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.38 : 2,686.68 = 926.87 : x
  2. Step 2: Convert to fraction form
    1,794.38/2,686.68 = 926.87/x
  3. Step 3: Cross multiply
    1,794.38x = 2,686.68 × 926.87
  4. Step 4: Simplify right side
    1,794.38x = 2,490,189.66
  5. Step 5: Solve for x
    x = 2,490,189.66/1,794.38
  6. Step 6: Final answer
    x = 1,387.78

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