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Finding the Fourth Proportional to 2,338.27, 3,507.48 and 694.94

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Solution

The fourth proportional to 2,338.27, 3,507.48 and 694.94 is: 1,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.27 : 3,507.48 = 694.94 : x
  2. Step 2: Convert to fraction form
    2,338.27/3,507.48 = 694.94/x
  3. Step 3: Cross multiply
    2,338.27x = 3,507.48 × 694.94
  4. Step 4: Simplify right side
    2,338.27x = 2,437,493.32
  5. Step 5: Solve for x
    x = 2,437,493.32/2,338.27
  6. Step 6: Final answer
    x = 1,042.44

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1.5x scale

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.