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Finding the Fourth Proportional to 1,993.54, 2,990.31 and 532.70

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Solution

The fourth proportional to 1,993.54, 2,990.31 and 532.70 is: 799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.54 : 2,990.31 = 532.70 : x
  2. Step 2: Convert to fraction form
    1,993.54/2,990.31 = 532.70/x
  3. Step 3: Cross multiply
    1,993.54x = 2,990.31 × 532.70
  4. Step 4: Simplify right side
    1,993.54x = 1,592,938.14
  5. Step 5: Solve for x
    x = 1,592,938.14/1,993.54
  6. Step 6: Final answer
    x = 799.05

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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.