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Finding the Fourth Proportional to 2,337.97, 3,507.50 and 694.48

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Solution

The fourth proportional to 2,337.97, 3,507.50 and 694.48 is: 1,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.97 : 3,507.50 = 694.48 : x
  2. Step 2: Convert to fraction form
    2,337.97/3,507.50 = 694.48/x
  3. Step 3: Cross multiply
    2,337.97x = 3,507.50 × 694.48
  4. Step 4: Simplify right side
    2,337.97x = 2,435,885.13
  5. Step 5: Solve for x
    x = 2,435,885.13/2,337.97
  6. Step 6: Final answer
    x = 1,041.88

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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.