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Finding the Fourth Proportional to 1,834.87, 2,524.61 and 1,585.39

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Solution

The fourth proportional to 1,834.87, 2,524.61 and 1,585.39 is: 2,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.87 : 2,524.61 = 1,585.39 : x
  2. Step 2: Convert to fraction form
    1,834.87/2,524.61 = 1,585.39/x
  3. Step 3: Cross multiply
    1,834.87x = 2,524.61 × 1,585.39
  4. Step 4: Simplify right side
    1,834.87x = 4,002,470.90
  5. Step 5: Solve for x
    x = 4,002,470.90/1,834.87
  6. Step 6: Final answer
    x = 2,181.34

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Why These Related Problems?

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