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Finding the Fourth Proportional to 1,992.89, 2,989.44 and 532.04

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Solution

The fourth proportional to 1,992.89, 2,989.44 and 532.04 is: 798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.89 : 2,989.44 = 532.04 : x
  2. Step 2: Convert to fraction form
    1,992.89/2,989.44 = 532.04/x
  3. Step 3: Cross multiply
    1,992.89x = 2,989.44 × 532.04
  4. Step 4: Simplify right side
    1,992.89x = 1,590,501.66
  5. Step 5: Solve for x
    x = 1,590,501.66/1,992.89
  6. Step 6: Final answer
    x = 798.09

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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.