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Finding the Fourth Proportional to 3,163.34, 4,365.70 and 1,819.13

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Solution

The fourth proportional to 3,163.34, 4,365.70 and 1,819.13 is: 2,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.34 : 4,365.70 = 1,819.13 : x
  2. Step 2: Convert to fraction form
    3,163.34/4,365.70 = 1,819.13/x
  3. Step 3: Cross multiply
    3,163.34x = 4,365.70 × 1,819.13
  4. Step 4: Simplify right side
    3,163.34x = 7,941,749.46
  5. Step 5: Solve for x
    x = 7,941,749.46/3,163.34
  6. Step 6: Final answer
    x = 2,510.56

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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.