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Finding the Fourth Proportional to 1,960.70, 2,704.83 and 1,514.18

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Solution

The fourth proportional to 1,960.70, 2,704.83 and 1,514.18 is: 2,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.70 : 2,704.83 = 1,514.18 : x
  2. Step 2: Convert to fraction form
    1,960.70/2,704.83 = 1,514.18/x
  3. Step 3: Cross multiply
    1,960.70x = 2,704.83 × 1,514.18
  4. Step 4: Simplify right side
    1,960.70x = 4,095,585.97
  5. Step 5: Solve for x
    x = 4,095,585.97/1,960.70
  6. Step 6: Final answer
    x = 2,088.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.