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Finding the Fourth Proportional to 2,065.10, 3,092.84 and 2,049.72

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Solution

The fourth proportional to 2,065.10, 3,092.84 and 2,049.72 is: 3,069.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.10 : 3,092.84 = 2,049.72 : x
  2. Step 2: Convert to fraction form
    2,065.10/3,092.84 = 2,049.72/x
  3. Step 3: Cross multiply
    2,065.10x = 3,092.84 × 2,049.72
  4. Step 4: Simplify right side
    2,065.10x = 6,339,445.76
  5. Step 5: Solve for x
    x = 6,339,445.76/2,065.10
  6. Step 6: Final answer
    x = 3,069.81

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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.