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Finding the Fourth Proportional to 2,066.37, 3,098.88 and 679.42

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Solution

The fourth proportional to 2,066.37, 3,098.88 and 679.42 is: 1,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.37 : 3,098.88 = 679.42 : x
  2. Step 2: Convert to fraction form
    2,066.37/3,098.88 = 679.42/x
  3. Step 3: Cross multiply
    2,066.37x = 3,098.88 × 679.42
  4. Step 4: Simplify right side
    2,066.37x = 2,105,441.05
  5. Step 5: Solve for x
    x = 2,105,441.05/2,066.37
  6. Step 6: Final answer
    x = 1,018.91

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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.