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Finding the Fourth Proportional to 2,089.72, 3,129.10 and 2,028.12

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Solution

The fourth proportional to 2,089.72, 3,129.10 and 2,028.12 is: 3,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.72 : 3,129.10 = 2,028.12 : x
  2. Step 2: Convert to fraction form
    2,089.72/3,129.10 = 2,028.12/x
  3. Step 3: Cross multiply
    2,089.72x = 3,129.10 × 2,028.12
  4. Step 4: Simplify right side
    2,089.72x = 6,346,190.29
  5. Step 5: Solve for x
    x = 6,346,190.29/2,089.72
  6. Step 6: Final answer
    x = 3,036.86

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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.