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Finding the Fourth Proportional to 2,205.45, 3,305.48 and 971.55

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Solution

The fourth proportional to 2,205.45, 3,305.48 and 971.55 is: 1,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.45 : 3,305.48 = 971.55 : x
  2. Step 2: Convert to fraction form
    2,205.45/3,305.48 = 971.55/x
  3. Step 3: Cross multiply
    2,205.45x = 3,305.48 × 971.55
  4. Step 4: Simplify right side
    2,205.45x = 3,211,434.24
  5. Step 5: Solve for x
    x = 3,211,434.24/2,205.45
  6. Step 6: Final answer
    x = 1,456.14

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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.