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Finding the Fourth Proportional to 2,215.53, 3,057.47 and 1,220.80

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Solution

The fourth proportional to 2,215.53, 3,057.47 and 1,220.80 is: 1,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.53 : 3,057.47 = 1,220.80 : x
  2. Step 2: Convert to fraction form
    2,215.53/3,057.47 = 1,220.80/x
  3. Step 3: Cross multiply
    2,215.53x = 3,057.47 × 1,220.80
  4. Step 4: Simplify right side
    2,215.53x = 3,732,559.38
  5. Step 5: Solve for x
    x = 3,732,559.38/2,215.53
  6. Step 6: Final answer
    x = 1,684.73

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Why These Related Problems?

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