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Finding the Fourth Proportional to 2,066.52, 3,116.14 and 2,027.64

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Solution

The fourth proportional to 2,066.52, 3,116.14 and 2,027.64 is: 3,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.52 : 3,116.14 = 2,027.64 : x
  2. Step 2: Convert to fraction form
    2,066.52/3,116.14 = 2,027.64/x
  3. Step 3: Cross multiply
    2,066.52x = 3,116.14 × 2,027.64
  4. Step 4: Simplify right side
    2,066.52x = 6,318,410.11
  5. Step 5: Solve for x
    x = 6,318,410.11/2,066.52
  6. Step 6: Final answer
    x = 3,057.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.