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Finding the Fourth Proportional to 2,105.68, 3,158.52 and 1,064.25

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Solution

The fourth proportional to 2,105.68, 3,158.52 and 1,064.25 is: 1,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.68 : 3,158.52 = 1,064.25 : x
  2. Step 2: Convert to fraction form
    2,105.68/3,158.52 = 1,064.25/x
  3. Step 3: Cross multiply
    2,105.68x = 3,158.52 × 1,064.25
  4. Step 4: Simplify right side
    2,105.68x = 3,361,458.35
  5. Step 5: Solve for x
    x = 3,361,458.35/2,105.68
  6. Step 6: Final answer
    x = 1,596.37

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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.