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Finding the Fourth Proportional to 2,060.10, 2,842.74 and 1,220.80

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Solution

The fourth proportional to 2,060.10, 2,842.74 and 1,220.80 is: 1,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.10 : 2,842.74 = 1,220.80 : x
  2. Step 2: Convert to fraction form
    2,060.10/2,842.74 = 1,220.80/x
  3. Step 3: Cross multiply
    2,060.10x = 2,842.74 × 1,220.80
  4. Step 4: Simplify right side
    2,060.10x = 3,470,416.99
  5. Step 5: Solve for x
    x = 3,470,416.99/2,060.10
  6. Step 6: Final answer
    x = 1,684.59

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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.