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Finding the Fourth Proportional to 2,206.96, 3,305.70 and 2,077.72

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Solution

The fourth proportional to 2,206.96, 3,305.70 and 2,077.72 is: 3,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.96 : 3,305.70 = 2,077.72 : x
  2. Step 2: Convert to fraction form
    2,206.96/3,305.70 = 2,077.72/x
  3. Step 3: Cross multiply
    2,206.96x = 3,305.70 × 2,077.72
  4. Step 4: Simplify right side
    2,206.96x = 6,868,319.00
  5. Step 5: Solve for x
    x = 6,868,319.00/2,206.96
  6. Step 6: Final answer
    x = 3,112.12

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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.