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Finding the Fourth Proportional to 2,215.81, 3,057.80 and 1,221.09

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Solution

The fourth proportional to 2,215.81, 3,057.80 and 1,221.09 is: 1,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.81 : 3,057.80 = 1,221.09 : x
  2. Step 2: Convert to fraction form
    2,215.81/3,057.80 = 1,221.09/x
  3. Step 3: Cross multiply
    2,215.81x = 3,057.80 × 1,221.09
  4. Step 4: Simplify right side
    2,215.81x = 3,733,831.42
  5. Step 5: Solve for x
    x = 3,733,831.42/2,215.81
  6. Step 6: Final answer
    x = 1,685.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.