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Finding the Fourth Proportional to 2,242.26, 3,364.90 and 781.40

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Solution

The fourth proportional to 2,242.26, 3,364.90 and 781.40 is: 1,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.26 : 3,364.90 = 781.40 : x
  2. Step 2: Convert to fraction form
    2,242.26/3,364.90 = 781.40/x
  3. Step 3: Cross multiply
    2,242.26x = 3,364.90 × 781.40
  4. Step 4: Simplify right side
    2,242.26x = 2,629,332.86
  5. Step 5: Solve for x
    x = 2,629,332.86/2,242.26
  6. Step 6: Final answer
    x = 1,172.63

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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.