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Finding the Fourth Proportional to 2,163.47, 3,244.25 and 913.23

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Solution

The fourth proportional to 2,163.47, 3,244.25 and 913.23 is: 1,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.47 : 3,244.25 = 913.23 : x
  2. Step 2: Convert to fraction form
    2,163.47/3,244.25 = 913.23/x
  3. Step 3: Cross multiply
    2,163.47x = 3,244.25 × 913.23
  4. Step 4: Simplify right side
    2,163.47x = 2,962,748.71
  5. Step 5: Solve for x
    x = 2,962,748.71/2,163.47
  6. Step 6: Final answer
    x = 1,369.45

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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.