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Finding the Fourth Proportional to 2,066.31, 2,850.70 and 1,181.64

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Solution

The fourth proportional to 2,066.31, 2,850.70 and 1,181.64 is: 1,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.31 : 2,850.70 = 1,181.64 : x
  2. Step 2: Convert to fraction form
    2,066.31/2,850.70 = 1,181.64/x
  3. Step 3: Cross multiply
    2,066.31x = 2,850.70 × 1,181.64
  4. Step 4: Simplify right side
    2,066.31x = 3,368,502.63
  5. Step 5: Solve for x
    x = 3,368,502.63/2,066.31
  6. Step 6: Final answer
    x = 1,630.20

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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.