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Finding the Fourth Proportional to 2,205.41, 3,310.34 and 1,956.87

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Solution

The fourth proportional to 2,205.41, 3,310.34 and 1,956.87 is: 2,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.41 : 3,310.34 = 1,956.87 : x
  2. Step 2: Convert to fraction form
    2,205.41/3,310.34 = 1,956.87/x
  3. Step 3: Cross multiply
    2,205.41x = 3,310.34 × 1,956.87
  4. Step 4: Simplify right side
    2,205.41x = 6,477,895.25
  5. Step 5: Solve for x
    x = 6,477,895.25/2,205.41
  6. Step 6: Final answer
    x = 2,937.28

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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.