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Finding the Fourth Proportional to 2,944.74, 4,407.50 and 2,164.54

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Solution

The fourth proportional to 2,944.74, 4,407.50 and 2,164.54 is: 3,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.74 : 4,407.50 = 2,164.54 : x
  2. Step 2: Convert to fraction form
    2,944.74/4,407.50 = 2,164.54/x
  3. Step 3: Cross multiply
    2,944.74x = 4,407.50 × 2,164.54
  4. Step 4: Simplify right side
    2,944.74x = 9,540,188.21
  5. Step 5: Solve for x
    x = 9,540,188.21/2,944.74
  6. Step 6: Final answer
    x = 3,239.74

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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.