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Finding the Fourth Proportional to 2,297.69, 3,446.72 and 737.90

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Solution

The fourth proportional to 2,297.69, 3,446.72 and 737.90 is: 1,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.69 : 3,446.72 = 737.90 : x
  2. Step 2: Convert to fraction form
    2,297.69/3,446.72 = 737.90/x
  3. Step 3: Cross multiply
    2,297.69x = 3,446.72 × 737.90
  4. Step 4: Simplify right side
    2,297.69x = 2,543,313.76
  5. Step 5: Solve for x
    x = 2,543,313.76/2,297.69
  6. Step 6: Final answer
    x = 1,106.90

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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.