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Finding the Fourth Proportional to 2,296.26, 3,443.88 and 652.50

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Solution

The fourth proportional to 2,296.26, 3,443.88 and 652.50 is: 978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.26 : 3,443.88 = 652.50 : x
  2. Step 2: Convert to fraction form
    2,296.26/3,443.88 = 652.50/x
  3. Step 3: Cross multiply
    2,296.26x = 3,443.88 × 652.50
  4. Step 4: Simplify right side
    2,296.26x = 2,247,131.70
  5. Step 5: Solve for x
    x = 2,247,131.70/2,296.26
  6. Step 6: Final answer
    x = 978.61

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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.