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Finding the Fourth Proportional to 2,693.07, 4,040.64 and 1,306.30

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Solution

The fourth proportional to 2,693.07, 4,040.64 and 1,306.30 is: 1,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.07 : 4,040.64 = 1,306.30 : x
  2. Step 2: Convert to fraction form
    2,693.07/4,040.64 = 1,306.30/x
  3. Step 3: Cross multiply
    2,693.07x = 4,040.64 × 1,306.30
  4. Step 4: Simplify right side
    2,693.07x = 5,278,288.03
  5. Step 5: Solve for x
    x = 5,278,288.03/2,693.07
  6. Step 6: Final answer
    x = 1,959.95

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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.