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Finding the Fourth Proportional to 2,235.62, 3,352.34 and 936.74

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Solution

The fourth proportional to 2,235.62, 3,352.34 and 936.74 is: 1,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.62 : 3,352.34 = 936.74 : x
  2. Step 2: Convert to fraction form
    2,235.62/3,352.34 = 936.74/x
  3. Step 3: Cross multiply
    2,235.62x = 3,352.34 × 936.74
  4. Step 4: Simplify right side
    2,235.62x = 3,140,256.55
  5. Step 5: Solve for x
    x = 3,140,256.55/2,235.62
  6. Step 6: Final answer
    x = 1,404.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.