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Finding the Fourth Proportional to 2,973.50, 4,102.61 and 1,793.73

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Solution

The fourth proportional to 2,973.50, 4,102.61 and 1,793.73 is: 2,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.50 : 4,102.61 = 1,793.73 : x
  2. Step 2: Convert to fraction form
    2,973.50/4,102.61 = 1,793.73/x
  3. Step 3: Cross multiply
    2,973.50x = 4,102.61 × 1,793.73
  4. Step 4: Simplify right side
    2,973.50x = 7,358,974.64
  5. Step 5: Solve for x
    x = 7,358,974.64/2,973.50
  6. Step 6: Final answer
    x = 2,474.85

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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.