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Finding the Fourth Proportional to 2,522.70, 3,481.43 and 1,527.42

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Solution

The fourth proportional to 2,522.70, 3,481.43 and 1,527.42 is: 2,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.70 : 3,481.43 = 1,527.42 : x
  2. Step 2: Convert to fraction form
    2,522.70/3,481.43 = 1,527.42/x
  3. Step 3: Cross multiply
    2,522.70x = 3,481.43 × 1,527.42
  4. Step 4: Simplify right side
    2,522.70x = 5,317,605.81
  5. Step 5: Solve for x
    x = 5,317,605.81/2,522.70
  6. Step 6: Final answer
    x = 2,107.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.