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Finding the Fourth Proportional to 2,749.70, 3,793.24 and 1,570.46

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Solution

The fourth proportional to 2,749.70, 3,793.24 and 1,570.46 is: 2,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.70 : 3,793.24 = 1,570.46 : x
  2. Step 2: Convert to fraction form
    2,749.70/3,793.24 = 1,570.46/x
  3. Step 3: Cross multiply
    2,749.70x = 3,793.24 × 1,570.46
  4. Step 4: Simplify right side
    2,749.70x = 5,957,108.80
  5. Step 5: Solve for x
    x = 5,957,108.80/2,749.70
  6. Step 6: Final answer
    x = 2,166.46

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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.