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Finding the Fourth Proportional to 2,296.14, 3,443.86 and 735.98

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Solution

The fourth proportional to 2,296.14, 3,443.86 and 735.98 is: 1,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.14 : 3,443.86 = 735.98 : x
  2. Step 2: Convert to fraction form
    2,296.14/3,443.86 = 735.98/x
  3. Step 3: Cross multiply
    2,296.14x = 3,443.86 × 735.98
  4. Step 4: Simplify right side
    2,296.14x = 2,534,594.86
  5. Step 5: Solve for x
    x = 2,534,594.86/2,296.14
  6. Step 6: Final answer
    x = 1,103.85

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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.