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Finding the Fourth Proportional to 2,114.72, 3,169.20 and 1,343.84

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Solution

The fourth proportional to 2,114.72, 3,169.20 and 1,343.84 is: 2,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.72 : 3,169.20 = 1,343.84 : x
  2. Step 2: Convert to fraction form
    2,114.72/3,169.20 = 1,343.84/x
  3. Step 3: Cross multiply
    2,114.72x = 3,169.20 × 1,343.84
  4. Step 4: Simplify right side
    2,114.72x = 4,258,897.73
  5. Step 5: Solve for x
    x = 4,258,897.73/2,114.72
  6. Step 6: Final answer
    x = 2,013.93

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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.