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Finding the Fourth Proportional to 2,218.10, 3,327.77 and 737.45

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Solution

The fourth proportional to 2,218.10, 3,327.77 and 737.45 is: 1,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.10 : 3,327.77 = 737.45 : x
  2. Step 2: Convert to fraction form
    2,218.10/3,327.77 = 737.45/x
  3. Step 3: Cross multiply
    2,218.10x = 3,327.77 × 737.45
  4. Step 4: Simplify right side
    2,218.10x = 2,454,072.31
  5. Step 5: Solve for x
    x = 2,454,072.31/2,218.10
  6. Step 6: Final answer
    x = 1,106.39

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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.