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Finding the Fourth Proportional to 2,082.69, 2,873.61 and 1,296.18

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Solution

The fourth proportional to 2,082.69, 2,873.61 and 1,296.18 is: 1,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.69 : 2,873.61 = 1,296.18 : x
  2. Step 2: Convert to fraction form
    2,082.69/2,873.61 = 1,296.18/x
  3. Step 3: Cross multiply
    2,082.69x = 2,873.61 × 1,296.18
  4. Step 4: Simplify right side
    2,082.69x = 3,724,715.81
  5. Step 5: Solve for x
    x = 3,724,715.81/2,082.69
  6. Step 6: Final answer
    x = 1,788.42

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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.