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Finding the Fourth Proportional to 1,992.82, 2,988.99 and 532.08

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Solution

The fourth proportional to 1,992.82, 2,988.99 and 532.08 is: 798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.82 : 2,988.99 = 532.08 : x
  2. Step 2: Convert to fraction form
    1,992.82/2,988.99 = 532.08/x
  3. Step 3: Cross multiply
    1,992.82x = 2,988.99 × 532.08
  4. Step 4: Simplify right side
    1,992.82x = 1,590,381.80
  5. Step 5: Solve for x
    x = 1,590,381.80/1,992.82
  6. Step 6: Final answer
    x = 798.06

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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.