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Finding the Fourth Proportional to 2,607.65, 3,912.71 and 1,310.03

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Solution

The fourth proportional to 2,607.65, 3,912.71 and 1,310.03 is: 1,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.65 : 3,912.71 = 1,310.03 : x
  2. Step 2: Convert to fraction form
    2,607.65/3,912.71 = 1,310.03/x
  3. Step 3: Cross multiply
    2,607.65x = 3,912.71 × 1,310.03
  4. Step 4: Simplify right side
    2,607.65x = 5,125,760.93
  5. Step 5: Solve for x
    x = 5,125,760.93/2,607.65
  6. Step 6: Final answer
    x = 1,965.66

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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.