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Finding the Fourth Proportional to 2,140.16, 3,209.94 and 679.46

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Solution

The fourth proportional to 2,140.16, 3,209.94 and 679.46 is: 1,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.16 : 3,209.94 = 679.46 : x
  2. Step 2: Convert to fraction form
    2,140.16/3,209.94 = 679.46/x
  3. Step 3: Cross multiply
    2,140.16x = 3,209.94 × 679.46
  4. Step 4: Simplify right side
    2,140.16x = 2,181,025.83
  5. Step 5: Solve for x
    x = 2,181,025.83/2,140.16
  6. Step 6: Final answer
    x = 1,019.09

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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.