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Finding the Fourth Proportional to 2,223.76, 3,337.80 and 2,121.16

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Solution

The fourth proportional to 2,223.76, 3,337.80 and 2,121.16 is: 3,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.76 : 3,337.80 = 2,121.16 : x
  2. Step 2: Convert to fraction form
    2,223.76/3,337.80 = 2,121.16/x
  3. Step 3: Cross multiply
    2,223.76x = 3,337.80 × 2,121.16
  4. Step 4: Simplify right side
    2,223.76x = 7,080,007.85
  5. Step 5: Solve for x
    x = 7,080,007.85/2,223.76
  6. Step 6: Final answer
    x = 3,183.80

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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.