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Finding the Fourth Proportional to 2,513.36, 3,771.16 and 871.09

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Solution

The fourth proportional to 2,513.36, 3,771.16 and 871.09 is: 1,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.36 : 3,771.16 = 871.09 : x
  2. Step 2: Convert to fraction form
    2,513.36/3,771.16 = 871.09/x
  3. Step 3: Cross multiply
    2,513.36x = 3,771.16 × 871.09
  4. Step 4: Simplify right side
    2,513.36x = 3,285,008.16
  5. Step 5: Solve for x
    x = 3,285,008.16/2,513.36
  6. Step 6: Final answer
    x = 1,307.02

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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.