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Finding the Fourth Proportional to 2,061.09, 3,090.20 and 1,019.82

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Solution

The fourth proportional to 2,061.09, 3,090.20 and 1,019.82 is: 1,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.09 : 3,090.20 = 1,019.82 : x
  2. Step 2: Convert to fraction form
    2,061.09/3,090.20 = 1,019.82/x
  3. Step 3: Cross multiply
    2,061.09x = 3,090.20 × 1,019.82
  4. Step 4: Simplify right side
    2,061.09x = 3,151,442.66
  5. Step 5: Solve for x
    x = 3,151,442.66/2,061.09
  6. Step 6: Final answer
    x = 1,529.02

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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.