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Finding the Fourth Proportional to 2,338.34, 3,508.08 and 694.82

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Solution

The fourth proportional to 2,338.34, 3,508.08 and 694.82 is: 1,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.34 : 3,508.08 = 694.82 : x
  2. Step 2: Convert to fraction form
    2,338.34/3,508.08 = 694.82/x
  3. Step 3: Cross multiply
    2,338.34x = 3,508.08 × 694.82
  4. Step 4: Simplify right side
    2,338.34x = 2,437,484.15
  5. Step 5: Solve for x
    x = 2,437,484.15/2,338.34
  6. Step 6: Final answer
    x = 1,042.40

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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.