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Finding the Fourth Proportional to 2,181.84, 3,272.53 and 621.74

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Solution

The fourth proportional to 2,181.84, 3,272.53 and 621.74 is: 932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.84 : 3,272.53 = 621.74 : x
  2. Step 2: Convert to fraction form
    2,181.84/3,272.53 = 621.74/x
  3. Step 3: Cross multiply
    2,181.84x = 3,272.53 × 621.74
  4. Step 4: Simplify right side
    2,181.84x = 2,034,655.04
  5. Step 5: Solve for x
    x = 2,034,655.04/2,181.84
  6. Step 6: Final answer
    x = 932.54

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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.