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Finding the Fourth Proportional to 2,164.39, 3,251.94 and 1,384.74

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Solution

The fourth proportional to 2,164.39, 3,251.94 and 1,384.74 is: 2,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.39 : 3,251.94 = 1,384.74 : x
  2. Step 2: Convert to fraction form
    2,164.39/3,251.94 = 1,384.74/x
  3. Step 3: Cross multiply
    2,164.39x = 3,251.94 × 1,384.74
  4. Step 4: Simplify right side
    2,164.39x = 4,503,102.99
  5. Step 5: Solve for x
    x = 4,503,102.99/2,164.39
  6. Step 6: Final answer
    x = 2,080.54

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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.