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Finding the Fourth Proportional to 2,226.77, 3,340.16 and 2,091.45

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Solution

The fourth proportional to 2,226.77, 3,340.16 and 2,091.45 is: 3,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.77 : 3,340.16 = 2,091.45 : x
  2. Step 2: Convert to fraction form
    2,226.77/3,340.16 = 2,091.45/x
  3. Step 3: Cross multiply
    2,226.77x = 3,340.16 × 2,091.45
  4. Step 4: Simplify right side
    2,226.77x = 6,985,777.63
  5. Step 5: Solve for x
    x = 6,985,777.63/2,226.77
  6. Step 6: Final answer
    x = 3,137.18

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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.