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Finding the Fourth Proportional to 2,148.99, 3,223.27 and 762.27

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Solution

The fourth proportional to 2,148.99, 3,223.27 and 762.27 is: 1,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.99 : 3,223.27 = 762.27 : x
  2. Step 2: Convert to fraction form
    2,148.99/3,223.27 = 762.27/x
  3. Step 3: Cross multiply
    2,148.99x = 3,223.27 × 762.27
  4. Step 4: Simplify right side
    2,148.99x = 2,457,002.02
  5. Step 5: Solve for x
    x = 2,457,002.02/2,148.99
  6. Step 6: Final answer
    x = 1,143.33

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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.