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Finding the Fourth Proportional to 2,670.12, 4,005.81 and 821.22

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Solution

The fourth proportional to 2,670.12, 4,005.81 and 821.22 is: 1,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.12 : 4,005.81 = 821.22 : x
  2. Step 2: Convert to fraction form
    2,670.12/4,005.81 = 821.22/x
  3. Step 3: Cross multiply
    2,670.12x = 4,005.81 × 821.22
  4. Step 4: Simplify right side
    2,670.12x = 3,289,651.29
  5. Step 5: Solve for x
    x = 3,289,651.29/2,670.12
  6. Step 6: Final answer
    x = 1,232.02

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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.