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Finding the Fourth Proportional to 2,558.69, 3,834.87 and 1,325.39

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Solution

The fourth proportional to 2,558.69, 3,834.87 and 1,325.39 is: 1,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.69 : 3,834.87 = 1,325.39 : x
  2. Step 2: Convert to fraction form
    2,558.69/3,834.87 = 1,325.39/x
  3. Step 3: Cross multiply
    2,558.69x = 3,834.87 × 1,325.39
  4. Step 4: Simplify right side
    2,558.69x = 5,082,679.17
  5. Step 5: Solve for x
    x = 5,082,679.17/2,558.69
  6. Step 6: Final answer
    x = 1,986.44

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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.