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Finding the Fourth Proportional to 2,531.84, 3,796.48 and 992

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Solution

The fourth proportional to 2,531.84, 3,796.48 and 992 is: 1,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.84 : 3,796.48 = 992 : x
  2. Step 2: Convert to fraction form
    2,531.84/3,796.48 = 992/x
  3. Step 3: Cross multiply
    2,531.84x = 3,796.48 × 992
  4. Step 4: Simplify right side
    2,531.84x = 3,766,108.16
  5. Step 5: Solve for x
    x = 3,766,108.16/2,531.84
  6. Step 6: Final answer
    x = 1,487.50

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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.