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Finding the Fourth Proportional to 2,946.63, 4,066.41 and 1,620.33

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Solution

The fourth proportional to 2,946.63, 4,066.41 and 1,620.33 is: 2,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.63 : 4,066.41 = 1,620.33 : x
  2. Step 2: Convert to fraction form
    2,946.63/4,066.41 = 1,620.33/x
  3. Step 3: Cross multiply
    2,946.63x = 4,066.41 × 1,620.33
  4. Step 4: Simplify right side
    2,946.63x = 6,588,926.12
  5. Step 5: Solve for x
    x = 6,588,926.12/2,946.63
  6. Step 6: Final answer
    x = 2,236.09

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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.