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Finding the Fourth Proportional to 2,140.13, 3,210.38 and 679.43

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Solution

The fourth proportional to 2,140.13, 3,210.38 and 679.43 is: 1,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.13 : 3,210.38 = 679.43 : x
  2. Step 2: Convert to fraction form
    2,140.13/3,210.38 = 679.43/x
  3. Step 3: Cross multiply
    2,140.13x = 3,210.38 × 679.43
  4. Step 4: Simplify right side
    2,140.13x = 2,181,228.48
  5. Step 5: Solve for x
    x = 2,181,228.48/2,140.13
  6. Step 6: Final answer
    x = 1,019.20

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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.