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Finding the Fourth Proportional to 2,034.36, 2,806.02 and 1,370.88

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Solution

The fourth proportional to 2,034.36, 2,806.02 and 1,370.88 is: 1,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.36 : 2,806.02 = 1,370.88 : x
  2. Step 2: Convert to fraction form
    2,034.36/2,806.02 = 1,370.88/x
  3. Step 3: Cross multiply
    2,034.36x = 2,806.02 × 1,370.88
  4. Step 4: Simplify right side
    2,034.36x = 3,846,716.70
  5. Step 5: Solve for x
    x = 3,846,716.70/2,034.36
  6. Step 6: Final answer
    x = 1,890.87

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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.