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Finding the Fourth Proportional to 2,014.00, 3,020.97 and 698.71

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Solution

The fourth proportional to 2,014.00, 3,020.97 and 698.71 is: 1,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.00 : 3,020.97 = 698.71 : x
  2. Step 2: Convert to fraction form
    2,014.00/3,020.97 = 698.71/x
  3. Step 3: Cross multiply
    2,014.00x = 3,020.97 × 698.71
  4. Step 4: Simplify right side
    2,014.00x = 2,110,770.90
  5. Step 5: Solve for x
    x = 2,110,770.90/2,014.00
  6. Step 6: Final answer
    x = 1,048.05

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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.