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Finding the Fourth Proportional to 2,356.39, 3,251.57 and 1,361.99

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Solution

The fourth proportional to 2,356.39, 3,251.57 and 1,361.99 is: 1,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.39 : 3,251.57 = 1,361.99 : x
  2. Step 2: Convert to fraction form
    2,356.39/3,251.57 = 1,361.99/x
  3. Step 3: Cross multiply
    2,356.39x = 3,251.57 × 1,361.99
  4. Step 4: Simplify right side
    2,356.39x = 4,428,601.10
  5. Step 5: Solve for x
    x = 4,428,601.10/2,356.39
  6. Step 6: Final answer
    x = 1,879.40

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Why These Related Problems?

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