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Finding the Fourth Proportional to 1,992.84, 2,989.20 and 532.11

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Solution

The fourth proportional to 1,992.84, 2,989.20 and 532.11 is: 798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.84 : 2,989.20 = 532.11 : x
  2. Step 2: Convert to fraction form
    1,992.84/2,989.20 = 532.11/x
  3. Step 3: Cross multiply
    1,992.84x = 2,989.20 × 532.11
  4. Step 4: Simplify right side
    1,992.84x = 1,590,583.21
  5. Step 5: Solve for x
    x = 1,590,583.21/1,992.84
  6. Step 6: Final answer
    x = 798.15

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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.