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Finding the Fourth Proportional to 2,964.58, 4,092.34 and 2,023.48

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Solution

The fourth proportional to 2,964.58, 4,092.34 and 2,023.48 is: 2,793.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.58 : 4,092.34 = 2,023.48 : x
  2. Step 2: Convert to fraction form
    2,964.58/4,092.34 = 2,023.48/x
  3. Step 3: Cross multiply
    2,964.58x = 4,092.34 × 2,023.48
  4. Step 4: Simplify right side
    2,964.58x = 8,280,768.14
  5. Step 5: Solve for x
    x = 8,280,768.14/2,964.58
  6. Step 6: Final answer
    x = 2,793.23

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