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Finding the Fourth Proportional to 1,362.15, 1,880.19 and 1,082.88

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Solution

The fourth proportional to 1,362.15, 1,880.19 and 1,082.88 is: 1,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.15 : 1,880.19 = 1,082.88 : x
  2. Step 2: Convert to fraction form
    1,362.15/1,880.19 = 1,082.88/x
  3. Step 3: Cross multiply
    1,362.15x = 1,880.19 × 1,082.88
  4. Step 4: Simplify right side
    1,362.15x = 2,036,020.15
  5. Step 5: Solve for x
    x = 2,036,020.15/1,362.15
  6. Step 6: Final answer
    x = 1,494.71

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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.