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Finding the Fourth Proportional to 2,175.15, 3,262.63 and 531.61

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Solution

The fourth proportional to 2,175.15, 3,262.63 and 531.61 is: 797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.15 : 3,262.63 = 531.61 : x
  2. Step 2: Convert to fraction form
    2,175.15/3,262.63 = 531.61/x
  3. Step 3: Cross multiply
    2,175.15x = 3,262.63 × 531.61
  4. Step 4: Simplify right side
    2,175.15x = 1,734,456.60
  5. Step 5: Solve for x
    x = 1,734,456.60/2,175.15
  6. Step 6: Final answer
    x = 797.39

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