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Finding the Fourth Proportional to 3,293.66, 4,942.02 and 1,444.53

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Solution

The fourth proportional to 3,293.66, 4,942.02 and 1,444.53 is: 2,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.66 : 4,942.02 = 1,444.53 : x
  2. Step 2: Convert to fraction form
    3,293.66/4,942.02 = 1,444.53/x
  3. Step 3: Cross multiply
    3,293.66x = 4,942.02 × 1,444.53
  4. Step 4: Simplify right side
    3,293.66x = 7,138,896.15
  5. Step 5: Solve for x
    x = 7,138,896.15/3,293.66
  6. Step 6: Final answer
    x = 2,167.47

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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.