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Finding the Fourth Proportional to 1,822.72, 2,731.49 and 833.10

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Solution

The fourth proportional to 1,822.72, 2,731.49 and 833.10 is: 1,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.72 : 2,731.49 = 833.10 : x
  2. Step 2: Convert to fraction form
    1,822.72/2,731.49 = 833.10/x
  3. Step 3: Cross multiply
    1,822.72x = 2,731.49 × 833.10
  4. Step 4: Simplify right side
    1,822.72x = 2,275,600.15
  5. Step 5: Solve for x
    x = 2,275,600.15/1,822.72
  6. Step 6: Final answer
    x = 1,248.47

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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.