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Finding the Fourth Proportional to 2,613.87, 3,919.98 and 882.09

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Solution

The fourth proportional to 2,613.87, 3,919.98 and 882.09 is: 1,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.87 : 3,919.98 = 882.09 : x
  2. Step 2: Convert to fraction form
    2,613.87/3,919.98 = 882.09/x
  3. Step 3: Cross multiply
    2,613.87x = 3,919.98 × 882.09
  4. Step 4: Simplify right side
    2,613.87x = 3,457,775.16
  5. Step 5: Solve for x
    x = 3,457,775.16/2,613.87
  6. Step 6: Final answer
    x = 1,322.86

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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.