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Finding the Fourth Proportional to 1,992.32, 2,988.40 and 531.47

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Solution

The fourth proportional to 1,992.32, 2,988.40 and 531.47 is: 797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.32 : 2,988.40 = 531.47 : x
  2. Step 2: Convert to fraction form
    1,992.32/2,988.40 = 531.47/x
  3. Step 3: Cross multiply
    1,992.32x = 2,988.40 × 531.47
  4. Step 4: Simplify right side
    1,992.32x = 1,588,251.09
  5. Step 5: Solve for x
    x = 1,588,251.09/1,992.32
  6. Step 6: Final answer
    x = 797.19

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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.