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Finding the Fourth Proportional to 2,670, 4,005.51 and 820.79

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Solution

The fourth proportional to 2,670, 4,005.51 and 820.79 is: 1,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670 : 4,005.51 = 820.79 : x
  2. Step 2: Convert to fraction form
    2,670/4,005.51 = 820.79/x
  3. Step 3: Cross multiply
    2,670x = 4,005.51 × 820.79
  4. Step 4: Simplify right side
    2,670x = 3,287,682.55
  5. Step 5: Solve for x
    x = 3,287,682.55/2,670
  6. Step 6: Final answer
    x = 1,231.34

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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.