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Finding the Fourth Proportional to 2,046.29, 3,069.86 and 659.77

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Solution

The fourth proportional to 2,046.29, 3,069.86 and 659.77 is: 989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.29 : 3,069.86 = 659.77 : x
  2. Step 2: Convert to fraction form
    2,046.29/3,069.86 = 659.77/x
  3. Step 3: Cross multiply
    2,046.29x = 3,069.86 × 659.77
  4. Step 4: Simplify right side
    2,046.29x = 2,025,395.51
  5. Step 5: Solve for x
    x = 2,025,395.51/2,046.29
  6. Step 6: Final answer
    x = 989.79

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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.