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Finding the Fourth Proportional to 1,369.52, 1,891.50 and 926.66

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Solution

The fourth proportional to 1,369.52, 1,891.50 and 926.66 is: 1,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.52 : 1,891.50 = 926.66 : x
  2. Step 2: Convert to fraction form
    1,369.52/1,891.50 = 926.66/x
  3. Step 3: Cross multiply
    1,369.52x = 1,891.50 × 926.66
  4. Step 4: Simplify right side
    1,369.52x = 1,752,777.39
  5. Step 5: Solve for x
    x = 1,752,777.39/1,369.52
  6. Step 6: Final answer
    x = 1,279.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.