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Finding the Fourth Proportional to 2,175.12, 3,262.66 and 531.65

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Solution

The fourth proportional to 2,175.12, 3,262.66 and 531.65 is: 797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.12 : 3,262.66 = 531.65 : x
  2. Step 2: Convert to fraction form
    2,175.12/3,262.66 = 531.65/x
  3. Step 3: Cross multiply
    2,175.12x = 3,262.66 × 531.65
  4. Step 4: Simplify right side
    2,175.12x = 1,734,603.01
  5. Step 5: Solve for x
    x = 1,734,603.01/2,175.12
  6. Step 6: Final answer
    x = 797.47

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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.