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Finding the Fourth Proportional to 2,606.38, 3,907.74 and 1,306.96

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Solution

The fourth proportional to 2,606.38, 3,907.74 and 1,306.96 is: 1,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.38 : 3,907.74 = 1,306.96 : x
  2. Step 2: Convert to fraction form
    2,606.38/3,907.74 = 1,306.96/x
  3. Step 3: Cross multiply
    2,606.38x = 3,907.74 × 1,306.96
  4. Step 4: Simplify right side
    2,606.38x = 5,107,259.87
  5. Step 5: Solve for x
    x = 5,107,259.87/2,606.38
  6. Step 6: Final answer
    x = 1,959.52

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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.