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Finding the Fourth Proportional to 3,293.40, 4,935.12 and 1,443.48

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Solution

The fourth proportional to 3,293.40, 4,935.12 and 1,443.48 is: 2,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.40 : 4,935.12 = 1,443.48 : x
  2. Step 2: Convert to fraction form
    3,293.40/4,935.12 = 1,443.48/x
  3. Step 3: Cross multiply
    3,293.40x = 4,935.12 × 1,443.48
  4. Step 4: Simplify right side
    3,293.40x = 7,123,747.02
  5. Step 5: Solve for x
    x = 7,123,747.02/3,293.40
  6. Step 6: Final answer
    x = 2,163.04

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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.