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Finding the Fourth Proportional to 2,033.17, 3,049.76 and 494.17

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Solution

The fourth proportional to 2,033.17, 3,049.76 and 494.17 is: 741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.17 : 3,049.76 = 494.17 : x
  2. Step 2: Convert to fraction form
    2,033.17/3,049.76 = 494.17/x
  3. Step 3: Cross multiply
    2,033.17x = 3,049.76 × 494.17
  4. Step 4: Simplify right side
    2,033.17x = 1,507,082.18
  5. Step 5: Solve for x
    x = 1,507,082.18/2,033.17
  6. Step 6: Final answer
    x = 741.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.