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Finding the Fourth Proportional to 2,266.39, 3,401.91 and 1,389.49

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Solution

The fourth proportional to 2,266.39, 3,401.91 and 1,389.49 is: 2,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.39 : 3,401.91 = 1,389.49 : x
  2. Step 2: Convert to fraction form
    2,266.39/3,401.91 = 1,389.49/x
  3. Step 3: Cross multiply
    2,266.39x = 3,401.91 × 1,389.49
  4. Step 4: Simplify right side
    2,266.39x = 4,726,919.93
  5. Step 5: Solve for x
    x = 4,726,919.93/2,266.39
  6. Step 6: Final answer
    x = 2,085.66

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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.