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Finding the Fourth Proportional to 2,720.93, 3,750.31 and 2,082.65

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Solution

The fourth proportional to 2,720.93, 3,750.31 and 2,082.65 is: 2,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.93 : 3,750.31 = 2,082.65 : x
  2. Step 2: Convert to fraction form
    2,720.93/3,750.31 = 2,082.65/x
  3. Step 3: Cross multiply
    2,720.93x = 3,750.31 × 2,082.65
  4. Step 4: Simplify right side
    2,720.93x = 7,810,583.12
  5. Step 5: Solve for x
    x = 7,810,583.12/2,720.93
  6. Step 6: Final answer
    x = 2,870.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.