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Finding the Fourth Proportional to 2,065.95, 3,098.62 and 679.25

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Solution

The fourth proportional to 2,065.95, 3,098.62 and 679.25 is: 1,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.95 : 3,098.62 = 679.25 : x
  2. Step 2: Convert to fraction form
    2,065.95/3,098.62 = 679.25/x
  3. Step 3: Cross multiply
    2,065.95x = 3,098.62 × 679.25
  4. Step 4: Simplify right side
    2,065.95x = 2,104,742.25
  5. Step 5: Solve for x
    x = 2,104,742.25/2,065.95
  6. Step 6: Final answer
    x = 1,018.78

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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.