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Finding the Fourth Proportional to 2,642.92, 3,964.35 and 1,472.35

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Solution

The fourth proportional to 2,642.92, 3,964.35 and 1,472.35 is: 2,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.92 : 3,964.35 = 1,472.35 : x
  2. Step 2: Convert to fraction form
    2,642.92/3,964.35 = 1,472.35/x
  3. Step 3: Cross multiply
    2,642.92x = 3,964.35 × 1,472.35
  4. Step 4: Simplify right side
    2,642.92x = 5,836,910.72
  5. Step 5: Solve for x
    x = 5,836,910.72/2,642.92
  6. Step 6: Final answer
    x = 2,208.51

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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.