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Finding the Fourth Proportional to 1,993, 2,989.65 and 532.12

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Solution

The fourth proportional to 1,993, 2,989.65 and 532.12 is: 798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993 : 2,989.65 = 532.12 : x
  2. Step 2: Convert to fraction form
    1,993/2,989.65 = 532.12/x
  3. Step 3: Cross multiply
    1,993x = 2,989.65 × 532.12
  4. Step 4: Simplify right side
    1,993x = 1,590,852.56
  5. Step 5: Solve for x
    x = 1,590,852.56/1,993
  6. Step 6: Final answer
    x = 798.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.