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Finding the Fourth Proportional to 2,165.31, 3,253.17 and 1,386.82

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Solution

The fourth proportional to 2,165.31, 3,253.17 and 1,386.82 is: 2,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.31 : 3,253.17 = 1,386.82 : x
  2. Step 2: Convert to fraction form
    2,165.31/3,253.17 = 1,386.82/x
  3. Step 3: Cross multiply
    2,165.31x = 3,253.17 × 1,386.82
  4. Step 4: Simplify right side
    2,165.31x = 4,511,568.79
  5. Step 5: Solve for x
    x = 4,511,568.79/2,165.31
  6. Step 6: Final answer
    x = 2,083.57

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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.