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Finding the Fourth Proportional to 2,095.05, 3,144.71 and 863.19

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Solution

The fourth proportional to 2,095.05, 3,144.71 and 863.19 is: 1,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.05 : 3,144.71 = 863.19 : x
  2. Step 2: Convert to fraction form
    2,095.05/3,144.71 = 863.19/x
  3. Step 3: Cross multiply
    2,095.05x = 3,144.71 × 863.19
  4. Step 4: Simplify right side
    2,095.05x = 2,714,482.22
  5. Step 5: Solve for x
    x = 2,714,482.22/2,095.05
  6. Step 6: Final answer
    x = 1,295.66

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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.