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Finding the Fourth Proportional to 2,086.16, 3,129.48 and 1,220.48

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Solution

The fourth proportional to 2,086.16, 3,129.48 and 1,220.48 is: 1,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.16 : 3,129.48 = 1,220.48 : x
  2. Step 2: Convert to fraction form
    2,086.16/3,129.48 = 1,220.48/x
  3. Step 3: Cross multiply
    2,086.16x = 3,129.48 × 1,220.48
  4. Step 4: Simplify right side
    2,086.16x = 3,819,467.75
  5. Step 5: Solve for x
    x = 3,819,467.75/2,086.16
  6. Step 6: Final answer
    x = 1,830.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.