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Finding the Fourth Proportional to 2,066.70, 3,101.12 and 1,027.46

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Solution

The fourth proportional to 2,066.70, 3,101.12 and 1,027.46 is: 1,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.70 : 3,101.12 = 1,027.46 : x
  2. Step 2: Convert to fraction form
    2,066.70/3,101.12 = 1,027.46/x
  3. Step 3: Cross multiply
    2,066.70x = 3,101.12 × 1,027.46
  4. Step 4: Simplify right side
    2,066.70x = 3,186,276.76
  5. Step 5: Solve for x
    x = 3,186,276.76/2,066.70
  6. Step 6: Final answer
    x = 1,541.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.