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Finding the Fourth Proportional to 2,210.96, 3,297.81 and 2,057.87

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Solution

The fourth proportional to 2,210.96, 3,297.81 and 2,057.87 is: 3,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.96 : 3,297.81 = 2,057.87 : x
  2. Step 2: Convert to fraction form
    2,210.96/3,297.81 = 2,057.87/x
  3. Step 3: Cross multiply
    2,210.96x = 3,297.81 × 2,057.87
  4. Step 4: Simplify right side
    2,210.96x = 6,786,480.23
  5. Step 5: Solve for x
    x = 6,786,480.23/2,210.96
  6. Step 6: Final answer
    x = 3,069.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.