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Finding the Fourth Proportional to 2,233.71, 3,082.32 and 1,238.76

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Solution

The fourth proportional to 2,233.71, 3,082.32 and 1,238.76 is: 1,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.71 : 3,082.32 = 1,238.76 : x
  2. Step 2: Convert to fraction form
    2,233.71/3,082.32 = 1,238.76/x
  3. Step 3: Cross multiply
    2,233.71x = 3,082.32 × 1,238.76
  4. Step 4: Simplify right side
    2,233.71x = 3,818,254.72
  5. Step 5: Solve for x
    x = 3,818,254.72/2,233.71
  6. Step 6: Final answer
    x = 1,709.38

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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.