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Finding the Fourth Proportional to 2,073.24, 2,860.92 and 1,287

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Solution

The fourth proportional to 2,073.24, 2,860.92 and 1,287 is: 1,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.24 : 2,860.92 = 1,287 : x
  2. Step 2: Convert to fraction form
    2,073.24/2,860.92 = 1,287/x
  3. Step 3: Cross multiply
    2,073.24x = 2,860.92 × 1,287
  4. Step 4: Simplify right side
    2,073.24x = 3,682,004.04
  5. Step 5: Solve for x
    x = 3,682,004.04/2,073.24
  6. Step 6: Final answer
    x = 1,775.97

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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.