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Finding the Fourth Proportional to 2,297.46, 3,446.89 and 980.53

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Solution

The fourth proportional to 2,297.46, 3,446.89 and 980.53 is: 1,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.46 : 3,446.89 = 980.53 : x
  2. Step 2: Convert to fraction form
    2,297.46/3,446.89 = 980.53/x
  3. Step 3: Cross multiply
    2,297.46x = 3,446.89 × 980.53
  4. Step 4: Simplify right side
    2,297.46x = 3,379,779.05
  5. Step 5: Solve for x
    x = 3,379,779.05/2,297.46
  6. Step 6: Final answer
    x = 1,471.09

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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.