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Finding the Fourth Proportional to 2,932.93, 4,396.95 and 1,372.12

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Solution

The fourth proportional to 2,932.93, 4,396.95 and 1,372.12 is: 2,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.93 : 4,396.95 = 1,372.12 : x
  2. Step 2: Convert to fraction form
    2,932.93/4,396.95 = 1,372.12/x
  3. Step 3: Cross multiply
    2,932.93x = 4,396.95 × 1,372.12
  4. Step 4: Simplify right side
    2,932.93x = 6,033,143.03
  5. Step 5: Solve for x
    x = 6,033,143.03/2,932.93
  6. Step 6: Final answer
    x = 2,057.04

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Why These Related Problems?

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