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Finding the Fourth Proportional to 2,670.15, 4,005.23 and 821.25

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Solution

The fourth proportional to 2,670.15, 4,005.23 and 821.25 is: 1,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.15 : 4,005.23 = 821.25 : x
  2. Step 2: Convert to fraction form
    2,670.15/4,005.23 = 821.25/x
  3. Step 3: Cross multiply
    2,670.15x = 4,005.23 × 821.25
  4. Step 4: Simplify right side
    2,670.15x = 3,289,291.03
  5. Step 5: Solve for x
    x = 3,289,291.03/2,670.15
  6. Step 6: Final answer
    x = 1,231.88

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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.