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Finding the Fourth Proportional to 2,082.75, 2,876.34 and 1,801.63

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Solution

The fourth proportional to 2,082.75, 2,876.34 and 1,801.63 is: 2,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.75 : 2,876.34 = 1,801.63 : x
  2. Step 2: Convert to fraction form
    2,082.75/2,876.34 = 1,801.63/x
  3. Step 3: Cross multiply
    2,082.75x = 2,876.34 × 1,801.63
  4. Step 4: Simplify right side
    2,082.75x = 5,182,100.43
  5. Step 5: Solve for x
    x = 5,182,100.43/2,082.75
  6. Step 6: Final answer
    x = 2,488.10

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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.