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Finding the Fourth Proportional to 2,066.64, 3,100.10 and 834.06

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Solution

The fourth proportional to 2,066.64, 3,100.10 and 834.06 is: 1,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.64 : 3,100.10 = 834.06 : x
  2. Step 2: Convert to fraction form
    2,066.64/3,100.10 = 834.06/x
  3. Step 3: Cross multiply
    2,066.64x = 3,100.10 × 834.06
  4. Step 4: Simplify right side
    2,066.64x = 2,585,669.41
  5. Step 5: Solve for x
    x = 2,585,669.41/2,066.64
  6. Step 6: Final answer
    x = 1,251.15

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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.