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Finding the Fourth Proportional to 2,869.47, 3,959.82 and 1,610.51

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Solution

The fourth proportional to 2,869.47, 3,959.82 and 1,610.51 is: 2,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.47 : 3,959.82 = 1,610.51 : x
  2. Step 2: Convert to fraction form
    2,869.47/3,959.82 = 1,610.51/x
  3. Step 3: Cross multiply
    2,869.47x = 3,959.82 × 1,610.51
  4. Step 4: Simplify right side
    2,869.47x = 6,377,309.91
  5. Step 5: Solve for x
    x = 6,377,309.91/2,869.47
  6. Step 6: Final answer
    x = 2,222.47

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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.