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Finding the Fourth Proportional to 2,181.41, 3,272.14 and 621.45

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Solution

The fourth proportional to 2,181.41, 3,272.14 and 621.45 is: 932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.41 : 3,272.14 = 621.45 : x
  2. Step 2: Convert to fraction form
    2,181.41/3,272.14 = 621.45/x
  3. Step 3: Cross multiply
    2,181.41x = 3,272.14 × 621.45
  4. Step 4: Simplify right side
    2,181.41x = 2,033,472.18
  5. Step 5: Solve for x
    x = 2,033,472.18/2,181.41
  6. Step 6: Final answer
    x = 932.18

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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.