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Finding the Fourth Proportional to 2,066.80, 3,100.96 and 956.75

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Solution

The fourth proportional to 2,066.80, 3,100.96 and 956.75 is: 1,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.80 : 3,100.96 = 956.75 : x
  2. Step 2: Convert to fraction form
    2,066.80/3,100.96 = 956.75/x
  3. Step 3: Cross multiply
    2,066.80x = 3,100.96 × 956.75
  4. Step 4: Simplify right side
    2,066.80x = 2,966,843.48
  5. Step 5: Solve for x
    x = 2,966,843.48/2,066.80
  6. Step 6: Final answer
    x = 1,435.48

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