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Finding the Fourth Proportional to 2,069.64, 3,101.76 and 1,093.68

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Solution

The fourth proportional to 2,069.64, 3,101.76 and 1,093.68 is: 1,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.64 : 3,101.76 = 1,093.68 : x
  2. Step 2: Convert to fraction form
    2,069.64/3,101.76 = 1,093.68/x
  3. Step 3: Cross multiply
    2,069.64x = 3,101.76 × 1,093.68
  4. Step 4: Simplify right side
    2,069.64x = 3,392,332.88
  5. Step 5: Solve for x
    x = 3,392,332.88/2,069.64
  6. Step 6: Final answer
    x = 1,639.09

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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.