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Finding the Fourth Proportional to 1,949.76, 2,920.32 and 1,082.52

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Solution

The fourth proportional to 1,949.76, 2,920.32 and 1,082.52 is: 1,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.76 : 2,920.32 = 1,082.52 : x
  2. Step 2: Convert to fraction form
    1,949.76/2,920.32 = 1,082.52/x
  3. Step 3: Cross multiply
    1,949.76x = 2,920.32 × 1,082.52
  4. Step 4: Simplify right side
    1,949.76x = 3,161,304.81
  5. Step 5: Solve for x
    x = 3,161,304.81/1,949.76
  6. Step 6: Final answer
    x = 1,621.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.