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Finding the Fourth Proportional to 2,065.20, 3,094.20 and 1,741.20

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Solution

The fourth proportional to 2,065.20, 3,094.20 and 1,741.20 is: 2,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.20 : 3,094.20 = 1,741.20 : x
  2. Step 2: Convert to fraction form
    2,065.20/3,094.20 = 1,741.20/x
  3. Step 3: Cross multiply
    2,065.20x = 3,094.20 × 1,741.20
  4. Step 4: Simplify right side
    2,065.20x = 5,387,621.04
  5. Step 5: Solve for x
    x = 5,387,621.04/2,065.20
  6. Step 6: Final answer
    x = 2,608.76

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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.