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Finding the Fourth Proportional to 2,263.26, 3,393.68 and 702.60

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Solution

The fourth proportional to 2,263.26, 3,393.68 and 702.60 is: 1,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.26 : 3,393.68 = 702.60 : x
  2. Step 2: Convert to fraction form
    2,263.26/3,393.68 = 702.60/x
  3. Step 3: Cross multiply
    2,263.26x = 3,393.68 × 702.60
  4. Step 4: Simplify right side
    2,263.26x = 2,384,399.57
  5. Step 5: Solve for x
    x = 2,384,399.57/2,263.26
  6. Step 6: Final answer
    x = 1,053.52

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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.