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Finding the Fourth Proportional to 2,944.64, 4,065.30 and 2,049.68

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Solution

The fourth proportional to 2,944.64, 4,065.30 and 2,049.68 is: 2,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.64 : 4,065.30 = 2,049.68 : x
  2. Step 2: Convert to fraction form
    2,944.64/4,065.30 = 2,049.68/x
  3. Step 3: Cross multiply
    2,944.64x = 4,065.30 × 2,049.68
  4. Step 4: Simplify right side
    2,944.64x = 8,332,564.10
  5. Step 5: Solve for x
    x = 8,332,564.10/2,944.64
  6. Step 6: Final answer
    x = 2,829.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.