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Finding the Fourth Proportional to 2,140.29, 3,210.99 and 679.46

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Solution

The fourth proportional to 2,140.29, 3,210.99 and 679.46 is: 1,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.29 : 3,210.99 = 679.46 : x
  2. Step 2: Convert to fraction form
    2,140.29/3,210.99 = 679.46/x
  3. Step 3: Cross multiply
    2,140.29x = 3,210.99 × 679.46
  4. Step 4: Simplify right side
    2,140.29x = 2,181,723.21
  5. Step 5: Solve for x
    x = 2,181,723.21/2,140.29
  6. Step 6: Final answer
    x = 1,019.36

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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.