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Finding the Fourth Proportional to 3,092.42, 4,266.78 and 1,973.90

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Solution

The fourth proportional to 3,092.42, 4,266.78 and 1,973.90 is: 2,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.42 : 4,266.78 = 1,973.90 : x
  2. Step 2: Convert to fraction form
    3,092.42/4,266.78 = 1,973.90/x
  3. Step 3: Cross multiply
    3,092.42x = 4,266.78 × 1,973.90
  4. Step 4: Simplify right side
    3,092.42x = 8,422,197.04
  5. Step 5: Solve for x
    x = 8,422,197.04/3,092.42
  6. Step 6: Final answer
    x = 2,723.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.