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Finding the Fourth Proportional to 2,223.36, 3,337.05 and 1,184.23

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Solution

The fourth proportional to 2,223.36, 3,337.05 and 1,184.23 is: 1,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.36 : 3,337.05 = 1,184.23 : x
  2. Step 2: Convert to fraction form
    2,223.36/3,337.05 = 1,184.23/x
  3. Step 3: Cross multiply
    2,223.36x = 3,337.05 × 1,184.23
  4. Step 4: Simplify right side
    2,223.36x = 3,951,834.72
  5. Step 5: Solve for x
    x = 3,951,834.72/2,223.36
  6. Step 6: Final answer
    x = 1,777.42

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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.