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Finding the Fourth Proportional to 2,107, 3,161.92 and 1,263.39

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Solution

The fourth proportional to 2,107, 3,161.92 and 1,263.39 is: 1,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107 : 3,161.92 = 1,263.39 : x
  2. Step 2: Convert to fraction form
    2,107/3,161.92 = 1,263.39/x
  3. Step 3: Cross multiply
    2,107x = 3,161.92 × 1,263.39
  4. Step 4: Simplify right side
    2,107x = 3,994,719.14
  5. Step 5: Solve for x
    x = 3,994,719.14/2,107
  6. Step 6: Final answer
    x = 1,895.93

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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.