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Finding the Fourth Proportional to 2,946.92, 4,066.76 and 1,620.71

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Solution

The fourth proportional to 2,946.92, 4,066.76 and 1,620.71 is: 2,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.92 : 4,066.76 = 1,620.71 : x
  2. Step 2: Convert to fraction form
    2,946.92/4,066.76 = 1,620.71/x
  3. Step 3: Cross multiply
    2,946.92x = 4,066.76 × 1,620.71
  4. Step 4: Simplify right side
    2,946.92x = 6,591,037.57
  5. Step 5: Solve for x
    x = 6,591,037.57/2,946.92
  6. Step 6: Final answer
    x = 2,236.58

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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.