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Finding the Fourth Proportional to 2,189.52, 3,019.56 and 1,443.24

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Solution

The fourth proportional to 2,189.52, 3,019.56 and 1,443.24 is: 1,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.52 : 3,019.56 = 1,443.24 : x
  2. Step 2: Convert to fraction form
    2,189.52/3,019.56 = 1,443.24/x
  3. Step 3: Cross multiply
    2,189.52x = 3,019.56 × 1,443.24
  4. Step 4: Simplify right side
    2,189.52x = 4,357,949.77
  5. Step 5: Solve for x
    x = 4,357,949.77/2,189.52
  6. Step 6: Final answer
    x = 1,990.37

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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.