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Finding the Fourth Proportional to 2,138.53, 2,951.30 and 1,509.27

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Solution

The fourth proportional to 2,138.53, 2,951.30 and 1,509.27 is: 2,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.53 : 2,951.30 = 1,509.27 : x
  2. Step 2: Convert to fraction form
    2,138.53/2,951.30 = 1,509.27/x
  3. Step 3: Cross multiply
    2,138.53x = 2,951.30 × 1,509.27
  4. Step 4: Simplify right side
    2,138.53x = 4,454,286.25
  5. Step 5: Solve for x
    x = 4,454,286.25/2,138.53
  6. Step 6: Final answer
    x = 2,082.87

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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.