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Finding the Fourth Proportional to 2,120.68, 3,178.14 and 1,095.40

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Solution

The fourth proportional to 2,120.68, 3,178.14 and 1,095.40 is: 1,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.68 : 3,178.14 = 1,095.40 : x
  2. Step 2: Convert to fraction form
    2,120.68/3,178.14 = 1,095.40/x
  3. Step 3: Cross multiply
    2,120.68x = 3,178.14 × 1,095.40
  4. Step 4: Simplify right side
    2,120.68x = 3,481,334.56
  5. Step 5: Solve for x
    x = 3,481,334.56/2,120.68
  6. Step 6: Final answer
    x = 1,641.61

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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.