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Finding the Fourth Proportional to 2,898.59, 3,998.58 and 1,834.56

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Solution

The fourth proportional to 2,898.59, 3,998.58 and 1,834.56 is: 2,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.59 : 3,998.58 = 1,834.56 : x
  2. Step 2: Convert to fraction form
    2,898.59/3,998.58 = 1,834.56/x
  3. Step 3: Cross multiply
    2,898.59x = 3,998.58 × 1,834.56
  4. Step 4: Simplify right side
    2,898.59x = 7,335,634.92
  5. Step 5: Solve for x
    x = 7,335,634.92/2,898.59
  6. Step 6: Final answer
    x = 2,530.76

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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.