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Finding the Fourth Proportional to 2,338.24, 3,507.94 and 694.78

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Solution

The fourth proportional to 2,338.24, 3,507.94 and 694.78 is: 1,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.24 : 3,507.94 = 694.78 : x
  2. Step 2: Convert to fraction form
    2,338.24/3,507.94 = 694.78/x
  3. Step 3: Cross multiply
    2,338.24x = 3,507.94 × 694.78
  4. Step 4: Simplify right side
    2,338.24x = 2,437,253.45
  5. Step 5: Solve for x
    x = 2,437,253.45/2,338.24
  6. Step 6: Final answer
    x = 1,042.34

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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.