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Finding the Fourth Proportional to 2,082.95, 2,875.09 and 1,244.24

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Solution

The fourth proportional to 2,082.95, 2,875.09 and 1,244.24 is: 1,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.95 : 2,875.09 = 1,244.24 : x
  2. Step 2: Convert to fraction form
    2,082.95/2,875.09 = 1,244.24/x
  3. Step 3: Cross multiply
    2,082.95x = 2,875.09 × 1,244.24
  4. Step 4: Simplify right side
    2,082.95x = 3,577,301.98
  5. Step 5: Solve for x
    x = 3,577,301.98/2,082.95
  6. Step 6: Final answer
    x = 1,717.42

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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.