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Finding the Fourth Proportional to 2,175.22, 3,262.82 and 531.77

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Solution

The fourth proportional to 2,175.22, 3,262.82 and 531.77 is: 797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.22 : 3,262.82 = 531.77 : x
  2. Step 2: Convert to fraction form
    2,175.22/3,262.82 = 531.77/x
  3. Step 3: Cross multiply
    2,175.22x = 3,262.82 × 531.77
  4. Step 4: Simplify right side
    2,175.22x = 1,735,075.29
  5. Step 5: Solve for x
    x = 1,735,075.29/2,175.22
  6. Step 6: Final answer
    x = 797.66

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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.