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Finding the Fourth Proportional to 2,149.67, 2,965.61 and 1,310.24

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Solution

The fourth proportional to 2,149.67, 2,965.61 and 1,310.24 is: 1,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.67 : 2,965.61 = 1,310.24 : x
  2. Step 2: Convert to fraction form
    2,149.67/2,965.61 = 1,310.24/x
  3. Step 3: Cross multiply
    2,149.67x = 2,965.61 × 1,310.24
  4. Step 4: Simplify right side
    2,149.67x = 3,885,671.54
  5. Step 5: Solve for x
    x = 3,885,671.54/2,149.67
  6. Step 6: Final answer
    x = 1,807.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.