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Finding the Fourth Proportional to 2,235.26, 3,352.88 and 696.38

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Solution

The fourth proportional to 2,235.26, 3,352.88 and 696.38 is: 1,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.26 : 3,352.88 = 696.38 : x
  2. Step 2: Convert to fraction form
    2,235.26/3,352.88 = 696.38/x
  3. Step 3: Cross multiply
    2,235.26x = 3,352.88 × 696.38
  4. Step 4: Simplify right side
    2,235.26x = 2,334,863.55
  5. Step 5: Solve for x
    x = 2,334,863.55/2,235.26
  6. Step 6: Final answer
    x = 1,044.56

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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.