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Finding the Fourth Proportional to 3,082.51, 4,254.62 and 1,757

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Solution

The fourth proportional to 3,082.51, 4,254.62 and 1,757 is: 2,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.51 : 4,254.62 = 1,757 : x
  2. Step 2: Convert to fraction form
    3,082.51/4,254.62 = 1,757/x
  3. Step 3: Cross multiply
    3,082.51x = 4,254.62 × 1,757
  4. Step 4: Simplify right side
    3,082.51x = 7,475,367.34
  5. Step 5: Solve for x
    x = 7,475,367.34/3,082.51
  6. Step 6: Final answer
    x = 2,425.09

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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.