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Finding the Fourth Proportional to 2,946.67, 4,066.68 and 1,620.58

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Solution

The fourth proportional to 2,946.67, 4,066.68 and 1,620.58 is: 2,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.67 : 4,066.68 = 1,620.58 : x
  2. Step 2: Convert to fraction form
    2,946.67/4,066.68 = 1,620.58/x
  3. Step 3: Cross multiply
    2,946.67x = 4,066.68 × 1,620.58
  4. Step 4: Simplify right side
    2,946.67x = 6,590,380.27
  5. Step 5: Solve for x
    x = 6,590,380.27/2,946.67
  6. Step 6: Final answer
    x = 2,236.55

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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.