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Finding the Fourth Proportional to 2,223.64, 3,327.09 and 1,364.77

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Solution

The fourth proportional to 2,223.64, 3,327.09 and 1,364.77 is: 2,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.64 : 3,327.09 = 1,364.77 : x
  2. Step 2: Convert to fraction form
    2,223.64/3,327.09 = 1,364.77/x
  3. Step 3: Cross multiply
    2,223.64x = 3,327.09 × 1,364.77
  4. Step 4: Simplify right side
    2,223.64x = 4,540,712.62
  5. Step 5: Solve for x
    x = 4,540,712.62/2,223.64
  6. Step 6: Final answer
    x = 2,042.02

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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.