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Finding the Fourth Proportional to 2,558.90, 3,834.42 and 1,516.82

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Solution

The fourth proportional to 2,558.90, 3,834.42 and 1,516.82 is: 2,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.90 : 3,834.42 = 1,516.82 : x
  2. Step 2: Convert to fraction form
    2,558.90/3,834.42 = 1,516.82/x
  3. Step 3: Cross multiply
    2,558.90x = 3,834.42 × 1,516.82
  4. Step 4: Simplify right side
    2,558.90x = 5,816,124.94
  5. Step 5: Solve for x
    x = 5,816,124.94/2,558.90
  6. Step 6: Final answer
    x = 2,272.90

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