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Finding the Fourth Proportional to 2,369.35, 3,269.72 and 1,321.41

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Solution

The fourth proportional to 2,369.35, 3,269.72 and 1,321.41 is: 1,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.35 : 3,269.72 = 1,321.41 : x
  2. Step 2: Convert to fraction form
    2,369.35/3,269.72 = 1,321.41/x
  3. Step 3: Cross multiply
    2,369.35x = 3,269.72 × 1,321.41
  4. Step 4: Simplify right side
    2,369.35x = 4,320,634.10
  5. Step 5: Solve for x
    x = 4,320,634.10/2,369.35
  6. Step 6: Final answer
    x = 1,823.55

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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.