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Finding the Fourth Proportional to 2,060.44, 2,842.81 and 1,220.78

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Solution

The fourth proportional to 2,060.44, 2,842.81 and 1,220.78 is: 1,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.44 : 2,842.81 = 1,220.78 : x
  2. Step 2: Convert to fraction form
    2,060.44/2,842.81 = 1,220.78/x
  3. Step 3: Cross multiply
    2,060.44x = 2,842.81 × 1,220.78
  4. Step 4: Simplify right side
    2,060.44x = 3,470,445.59
  5. Step 5: Solve for x
    x = 3,470,445.59/2,060.44
  6. Step 6: Final answer
    x = 1,684.32

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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.