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Finding the Fourth Proportional to 1,993.12, 2,989.83 and 532.24

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Solution

The fourth proportional to 1,993.12, 2,989.83 and 532.24 is: 798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.12 : 2,989.83 = 532.24 : x
  2. Step 2: Convert to fraction form
    1,993.12/2,989.83 = 532.24/x
  3. Step 3: Cross multiply
    1,993.12x = 2,989.83 × 532.24
  4. Step 4: Simplify right side
    1,993.12x = 1,591,307.12
  5. Step 5: Solve for x
    x = 1,591,307.12/1,993.12
  6. Step 6: Final answer
    x = 798.40

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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.