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Finding the Fourth Proportional to 3,082.25, 4,252.46 and 1,755.01

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Solution

The fourth proportional to 3,082.25, 4,252.46 and 1,755.01 is: 2,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.25 : 4,252.46 = 1,755.01 : x
  2. Step 2: Convert to fraction form
    3,082.25/4,252.46 = 1,755.01/x
  3. Step 3: Cross multiply
    3,082.25x = 4,252.46 × 1,755.01
  4. Step 4: Simplify right side
    3,082.25x = 7,463,116.24
  5. Step 5: Solve for x
    x = 7,463,116.24/3,082.25
  6. Step 6: Final answer
    x = 2,421.32

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Why These Related Problems?

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