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Finding the Fourth Proportional to 2,764.26, 4,148.02 and 1,033.02

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Solution

The fourth proportional to 2,764.26, 4,148.02 and 1,033.02 is: 1,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.26 : 4,148.02 = 1,033.02 : x
  2. Step 2: Convert to fraction form
    2,764.26/4,148.02 = 1,033.02/x
  3. Step 3: Cross multiply
    2,764.26x = 4,148.02 × 1,033.02
  4. Step 4: Simplify right side
    2,764.26x = 4,284,987.62
  5. Step 5: Solve for x
    x = 4,284,987.62/2,764.26
  6. Step 6: Final answer
    x = 1,550.14

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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.