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Finding the Fourth Proportional to 2,898.62, 3,998.62 and 1,834.60

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Solution

The fourth proportional to 2,898.62, 3,998.62 and 1,834.60 is: 2,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.62 : 3,998.62 = 1,834.60 : x
  2. Step 2: Convert to fraction form
    2,898.62/3,998.62 = 1,834.60/x
  3. Step 3: Cross multiply
    2,898.62x = 3,998.62 × 1,834.60
  4. Step 4: Simplify right side
    2,898.62x = 7,335,868.25
  5. Step 5: Solve for x
    x = 7,335,868.25/2,898.62
  6. Step 6: Final answer
    x = 2,530.81

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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.