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Finding the Fourth Proportional to 2,669.74, 4,004.58 and 820.84

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Solution

The fourth proportional to 2,669.74, 4,004.58 and 820.84 is: 1,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.74 : 4,004.58 = 820.84 : x
  2. Step 2: Convert to fraction form
    2,669.74/4,004.58 = 820.84/x
  3. Step 3: Cross multiply
    2,669.74x = 4,004.58 × 820.84
  4. Step 4: Simplify right side
    2,669.74x = 3,287,119.45
  5. Step 5: Solve for x
    x = 3,287,119.45/2,669.74
  6. Step 6: Final answer
    x = 1,231.25

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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.