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Finding the Fourth Proportional to 2,175, 3,262.53 and 531.54

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Solution

The fourth proportional to 2,175, 3,262.53 and 531.54 is: 797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175 : 3,262.53 = 531.54 : x
  2. Step 2: Convert to fraction form
    2,175/3,262.53 = 531.54/x
  3. Step 3: Cross multiply
    2,175x = 3,262.53 × 531.54
  4. Step 4: Simplify right side
    2,175x = 1,734,165.20
  5. Step 5: Solve for x
    x = 1,734,165.20/2,175
  6. Step 6: Final answer
    x = 797.32

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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.