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Finding the Fourth Proportional to 2,242.54, 3,363.78 and 781.69

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Solution

The fourth proportional to 2,242.54, 3,363.78 and 781.69 is: 1,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.54 : 3,363.78 = 781.69 : x
  2. Step 2: Convert to fraction form
    2,242.54/3,363.78 = 781.69/x
  3. Step 3: Cross multiply
    2,242.54x = 3,363.78 × 781.69
  4. Step 4: Simplify right side
    2,242.54x = 2,629,421.55
  5. Step 5: Solve for x
    x = 2,629,421.55/2,242.54
  6. Step 6: Final answer
    x = 1,172.52

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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.