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Finding the Fourth Proportional to 2,140.20, 3,210.81 and 679.35

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Solution

The fourth proportional to 2,140.20, 3,210.81 and 679.35 is: 1,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.20 : 3,210.81 = 679.35 : x
  2. Step 2: Convert to fraction form
    2,140.20/3,210.81 = 679.35/x
  3. Step 3: Cross multiply
    2,140.20x = 3,210.81 × 679.35
  4. Step 4: Simplify right side
    2,140.20x = 2,181,263.77
  5. Step 5: Solve for x
    x = 2,181,263.77/2,140.20
  6. Step 6: Final answer
    x = 1,019.19

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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.