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Finding the Fourth Proportional to 2,694.84, 3,718.62 and 1,647.96

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Solution

The fourth proportional to 2,694.84, 3,718.62 and 1,647.96 is: 2,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.84 : 3,718.62 = 1,647.96 : x
  2. Step 2: Convert to fraction form
    2,694.84/3,718.62 = 1,647.96/x
  3. Step 3: Cross multiply
    2,694.84x = 3,718.62 × 1,647.96
  4. Step 4: Simplify right side
    2,694.84x = 6,128,137.02
  5. Step 5: Solve for x
    x = 6,128,137.02/2,694.84
  6. Step 6: Final answer
    x = 2,274.03

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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.