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Finding the Fourth Proportional to 2,758.72, 3,806.42 and 2,013.08

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Solution

The fourth proportional to 2,758.72, 3,806.42 and 2,013.08 is: 2,777.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.72 : 3,806.42 = 2,013.08 : x
  2. Step 2: Convert to fraction form
    2,758.72/3,806.42 = 2,013.08/x
  3. Step 3: Cross multiply
    2,758.72x = 3,806.42 × 2,013.08
  4. Step 4: Simplify right side
    2,758.72x = 7,662,642.52
  5. Step 5: Solve for x
    x = 7,662,642.52/2,758.72
  6. Step 6: Final answer
    x = 2,777.61

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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.