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Finding the Fourth Proportional to 2,694.86, 3,718.02 and 1,633.02

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Solution

The fourth proportional to 2,694.86, 3,718.02 and 1,633.02 is: 2,253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.86 : 3,718.02 = 1,633.02 : x
  2. Step 2: Convert to fraction form
    2,694.86/3,718.02 = 1,633.02/x
  3. Step 3: Cross multiply
    2,694.86x = 3,718.02 × 1,633.02
  4. Step 4: Simplify right side
    2,694.86x = 6,071,601.02
  5. Step 5: Solve for x
    x = 6,071,601.02/2,694.86
  6. Step 6: Final answer
    x = 2,253.03

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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.