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Finding the Fourth Proportional to 2,065.83, 3,098.78 and 679.28

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Solution

The fourth proportional to 2,065.83, 3,098.78 and 679.28 is: 1,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.83 : 3,098.78 = 679.28 : x
  2. Step 2: Convert to fraction form
    2,065.83/3,098.78 = 679.28/x
  3. Step 3: Cross multiply
    2,065.83x = 3,098.78 × 679.28
  4. Step 4: Simplify right side
    2,065.83x = 2,104,920.39
  5. Step 5: Solve for x
    x = 2,104,920.39/2,065.83
  6. Step 6: Final answer
    x = 1,018.92

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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.