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Finding the Fourth Proportional to 2,337.11, 3,505.63 and 694.77

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Solution

The fourth proportional to 2,337.11, 3,505.63 and 694.77 is: 1,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.11 : 3,505.63 = 694.77 : x
  2. Step 2: Convert to fraction form
    2,337.11/3,505.63 = 694.77/x
  3. Step 3: Cross multiply
    2,337.11x = 3,505.63 × 694.77
  4. Step 4: Simplify right side
    2,337.11x = 2,435,606.56
  5. Step 5: Solve for x
    x = 2,435,606.56/2,337.11
  6. Step 6: Final answer
    x = 1,042.14

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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.