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Finding the Fourth Proportional to 1,508.76, 2,082.27 and 919.38

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Solution

The fourth proportional to 1,508.76, 2,082.27 and 919.38 is: 1,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.76 : 2,082.27 = 919.38 : x
  2. Step 2: Convert to fraction form
    1,508.76/2,082.27 = 919.38/x
  3. Step 3: Cross multiply
    1,508.76x = 2,082.27 × 919.38
  4. Step 4: Simplify right side
    1,508.76x = 1,914,397.39
  5. Step 5: Solve for x
    x = 1,914,397.39/1,508.76
  6. Step 6: Final answer
    x = 1,268.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.