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Finding the Fourth Proportional to 3,169.26, 4,749.57 and 1,522.53

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Solution

The fourth proportional to 3,169.26, 4,749.57 and 1,522.53 is: 2,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.26 : 4,749.57 = 1,522.53 : x
  2. Step 2: Convert to fraction form
    3,169.26/4,749.57 = 1,522.53/x
  3. Step 3: Cross multiply
    3,169.26x = 4,749.57 × 1,522.53
  4. Step 4: Simplify right side
    3,169.26x = 7,231,362.81
  5. Step 5: Solve for x
    x = 7,231,362.81/3,169.26
  6. Step 6: Final answer
    x = 2,281.72

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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.