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Finding the Fourth Proportional to 2,140.51, 3,211.23 and 679.78

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Solution

The fourth proportional to 2,140.51, 3,211.23 and 679.78 is: 1,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.51 : 3,211.23 = 679.78 : x
  2. Step 2: Convert to fraction form
    2,140.51/3,211.23 = 679.78/x
  3. Step 3: Cross multiply
    2,140.51x = 3,211.23 × 679.78
  4. Step 4: Simplify right side
    2,140.51x = 2,182,929.93
  5. Step 5: Solve for x
    x = 2,182,929.93/2,140.51
  6. Step 6: Final answer
    x = 1,019.82

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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.