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Finding the Fourth Proportional to 2,607.40, 3,912.33 and 1,309.78

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Solution

The fourth proportional to 2,607.40, 3,912.33 and 1,309.78 is: 1,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.40 : 3,912.33 = 1,309.78 : x
  2. Step 2: Convert to fraction form
    2,607.40/3,912.33 = 1,309.78/x
  3. Step 3: Cross multiply
    2,607.40x = 3,912.33 × 1,309.78
  4. Step 4: Simplify right side
    2,607.40x = 5,124,291.59
  5. Step 5: Solve for x
    x = 5,124,291.59/2,607.40
  6. Step 6: Final answer
    x = 1,965.29

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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.