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Finding the Fourth Proportional to 2,163.43, 3,242.45 and 929.41

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Solution

The fourth proportional to 2,163.43, 3,242.45 and 929.41 is: 1,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.43 : 3,242.45 = 929.41 : x
  2. Step 2: Convert to fraction form
    2,163.43/3,242.45 = 929.41/x
  3. Step 3: Cross multiply
    2,163.43x = 3,242.45 × 929.41
  4. Step 4: Simplify right side
    2,163.43x = 3,013,565.45
  5. Step 5: Solve for x
    x = 3,013,565.45/2,163.43
  6. Step 6: Final answer
    x = 1,392.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.