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Finding the Fourth Proportional to 2,772.68, 4,156.97 and 1,310.12

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Solution

The fourth proportional to 2,772.68, 4,156.97 and 1,310.12 is: 1,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.68 : 4,156.97 = 1,310.12 : x
  2. Step 2: Convert to fraction form
    2,772.68/4,156.97 = 1,310.12/x
  3. Step 3: Cross multiply
    2,772.68x = 4,156.97 × 1,310.12
  4. Step 4: Simplify right side
    2,772.68x = 5,446,130.71
  5. Step 5: Solve for x
    x = 5,446,130.71/2,772.68
  6. Step 6: Final answer
    x = 1,964.21

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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.