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Finding the Fourth Proportional to 2,694.84, 4,039.83 and 962.25

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Solution

The fourth proportional to 2,694.84, 4,039.83 and 962.25 is: 1,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.84 : 4,039.83 = 962.25 : x
  2. Step 2: Convert to fraction form
    2,694.84/4,039.83 = 962.25/x
  3. Step 3: Cross multiply
    2,694.84x = 4,039.83 × 962.25
  4. Step 4: Simplify right side
    2,694.84x = 3,887,326.42
  5. Step 5: Solve for x
    x = 3,887,326.42/2,694.84
  6. Step 6: Final answer
    x = 1,442.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.