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Finding the Fourth Proportional to 2,817.11, 3,886.31 and 1,822.71

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Solution

The fourth proportional to 2,817.11, 3,886.31 and 1,822.71 is: 2,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.11 : 3,886.31 = 1,822.71 : x
  2. Step 2: Convert to fraction form
    2,817.11/3,886.31 = 1,822.71/x
  3. Step 3: Cross multiply
    2,817.11x = 3,886.31 × 1,822.71
  4. Step 4: Simplify right side
    2,817.11x = 7,083,610.94
  5. Step 5: Solve for x
    x = 7,083,610.94/2,817.11
  6. Step 6: Final answer
    x = 2,514.50

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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.