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Finding the Fourth Proportional to 2,082.83, 2,873.64 and 1,254.83

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Solution

The fourth proportional to 2,082.83, 2,873.64 and 1,254.83 is: 1,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.83 : 2,873.64 = 1,254.83 : x
  2. Step 2: Convert to fraction form
    2,082.83/2,873.64 = 1,254.83/x
  3. Step 3: Cross multiply
    2,082.83x = 2,873.64 × 1,254.83
  4. Step 4: Simplify right side
    2,082.83x = 3,605,915.31
  5. Step 5: Solve for x
    x = 3,605,915.31/2,082.83
  6. Step 6: Final answer
    x = 1,731.26

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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.