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Finding the Fourth Proportional to 2,162.52, 2,983.10 and 1,882.26

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Solution

The fourth proportional to 2,162.52, 2,983.10 and 1,882.26 is: 2,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.52 : 2,983.10 = 1,882.26 : x
  2. Step 2: Convert to fraction form
    2,162.52/2,983.10 = 1,882.26/x
  3. Step 3: Cross multiply
    2,162.52x = 2,983.10 × 1,882.26
  4. Step 4: Simplify right side
    2,162.52x = 5,614,969.81
  5. Step 5: Solve for x
    x = 5,614,969.81/2,162.52
  6. Step 6: Final answer
    x = 2,596.49

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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.