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Finding the Fourth Proportional to 2,585.66, 3,879.54 and 1,414.24

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Solution

The fourth proportional to 2,585.66, 3,879.54 and 1,414.24 is: 2,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.66 : 3,879.54 = 1,414.24 : x
  2. Step 2: Convert to fraction form
    2,585.66/3,879.54 = 1,414.24/x
  3. Step 3: Cross multiply
    2,585.66x = 3,879.54 × 1,414.24
  4. Step 4: Simplify right side
    2,585.66x = 5,486,605.50
  5. Step 5: Solve for x
    x = 5,486,605.50/2,585.66
  6. Step 6: Final answer
    x = 2,121.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.