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Finding the Fourth Proportional to 2,057.51, 3,082.67 and 1,713.06

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Solution

The fourth proportional to 2,057.51, 3,082.67 and 1,713.06 is: 2,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.51 : 3,082.67 = 1,713.06 : x
  2. Step 2: Convert to fraction form
    2,057.51/3,082.67 = 1,713.06/x
  3. Step 3: Cross multiply
    2,057.51x = 3,082.67 × 1,713.06
  4. Step 4: Simplify right side
    2,057.51x = 5,280,774.69
  5. Step 5: Solve for x
    x = 5,280,774.69/2,057.51
  6. Step 6: Final answer
    x = 2,566.59

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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.