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Finding the Fourth Proportional to 2,086.08, 3,129.39 and 698.82

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Solution

The fourth proportional to 2,086.08, 3,129.39 and 698.82 is: 1,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.08 : 3,129.39 = 698.82 : x
  2. Step 2: Convert to fraction form
    2,086.08/3,129.39 = 698.82/x
  3. Step 3: Cross multiply
    2,086.08x = 3,129.39 × 698.82
  4. Step 4: Simplify right side
    2,086.08x = 2,186,880.32
  5. Step 5: Solve for x
    x = 2,186,880.32/2,086.08
  6. Step 6: Final answer
    x = 1,048.32

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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.