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Finding the Fourth Proportional to 2,033.91, 3,050.87 and 494.91

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Solution

The fourth proportional to 2,033.91, 3,050.87 and 494.91 is: 742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.91 : 3,050.87 = 494.91 : x
  2. Step 2: Convert to fraction form
    2,033.91/3,050.87 = 494.91/x
  3. Step 3: Cross multiply
    2,033.91x = 3,050.87 × 494.91
  4. Step 4: Simplify right side
    2,033.91x = 1,509,903.60
  5. Step 5: Solve for x
    x = 1,509,903.60/2,033.91
  6. Step 6: Final answer
    x = 742.37

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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.