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Finding the Fourth Proportional to 2,944.56, 4,415.13 and 2,021.16

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Solution

The fourth proportional to 2,944.56, 4,415.13 and 2,021.16 is: 3,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.56 : 4,415.13 = 2,021.16 : x
  2. Step 2: Convert to fraction form
    2,944.56/4,415.13 = 2,021.16/x
  3. Step 3: Cross multiply
    2,944.56x = 4,415.13 × 2,021.16
  4. Step 4: Simplify right side
    2,944.56x = 8,923,684.15
  5. Step 5: Solve for x
    x = 8,923,684.15/2,944.56
  6. Step 6: Final answer
    x = 3,030.57

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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.