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Finding the Fourth Proportional to 2,367.81, 3,265.83 and 1,738.13

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Solution

The fourth proportional to 2,367.81, 3,265.83 and 1,738.13 is: 2,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.81 : 3,265.83 = 1,738.13 : x
  2. Step 2: Convert to fraction form
    2,367.81/3,265.83 = 1,738.13/x
  3. Step 3: Cross multiply
    2,367.81x = 3,265.83 × 1,738.13
  4. Step 4: Simplify right side
    2,367.81x = 5,676,420.77
  5. Step 5: Solve for x
    x = 5,676,420.77/2,367.81
  6. Step 6: Final answer
    x = 2,397.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.