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Finding the Fourth Proportional to 2,297.46, 3,443.49 and 1,202.34

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Solution

The fourth proportional to 2,297.46, 3,443.49 and 1,202.34 is: 1,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.46 : 3,443.49 = 1,202.34 : x
  2. Step 2: Convert to fraction form
    2,297.46/3,443.49 = 1,202.34/x
  3. Step 3: Cross multiply
    2,297.46x = 3,443.49 × 1,202.34
  4. Step 4: Simplify right side
    2,297.46x = 4,140,245.77
  5. Step 5: Solve for x
    x = 4,140,245.77/2,297.46
  6. Step 6: Final answer
    x = 1,802.10

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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.