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Finding the Fourth Proportional to 1,306.87, 1,969.70 and 1,126.44

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Solution

The fourth proportional to 1,306.87, 1,969.70 and 1,126.44 is: 1,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.87 : 1,969.70 = 1,126.44 : x
  2. Step 2: Convert to fraction form
    1,306.87/1,969.70 = 1,126.44/x
  3. Step 3: Cross multiply
    1,306.87x = 1,969.70 × 1,126.44
  4. Step 4: Simplify right side
    1,306.87x = 2,218,743.24
  5. Step 5: Solve for x
    x = 2,218,743.24/1,306.87
  6. Step 6: Final answer
    x = 1,697.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.