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Finding the Fourth Proportional to 2,164.83, 3,244.05 and 1,069.96

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Solution

The fourth proportional to 2,164.83, 3,244.05 and 1,069.96 is: 1,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.83 : 3,244.05 = 1,069.96 : x
  2. Step 2: Convert to fraction form
    2,164.83/3,244.05 = 1,069.96/x
  3. Step 3: Cross multiply
    2,164.83x = 3,244.05 × 1,069.96
  4. Step 4: Simplify right side
    2,164.83x = 3,471,001.71
  5. Step 5: Solve for x
    x = 3,471,001.71/2,164.83
  6. Step 6: Final answer
    x = 1,603.36

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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.