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Finding the Fourth Proportional to 2,013.66, 3,020.72 and 1,806.95

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Solution

The fourth proportional to 2,013.66, 3,020.72 and 1,806.95 is: 2,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.66 : 3,020.72 = 1,806.95 : x
  2. Step 2: Convert to fraction form
    2,013.66/3,020.72 = 1,806.95/x
  3. Step 3: Cross multiply
    2,013.66x = 3,020.72 × 1,806.95
  4. Step 4: Simplify right side
    2,013.66x = 5,458,288.52
  5. Step 5: Solve for x
    x = 5,458,288.52/2,013.66
  6. Step 6: Final answer
    x = 2,710.63

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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.