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Finding the Fourth Proportional to 2,513.62, 3,771.45 and 871.32

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Solution

The fourth proportional to 2,513.62, 3,771.45 and 871.32 is: 1,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.62 : 3,771.45 = 871.32 : x
  2. Step 2: Convert to fraction form
    2,513.62/3,771.45 = 871.32/x
  3. Step 3: Cross multiply
    2,513.62x = 3,771.45 × 871.32
  4. Step 4: Simplify right side
    2,513.62x = 3,286,139.81
  5. Step 5: Solve for x
    x = 3,286,139.81/2,513.62
  6. Step 6: Final answer
    x = 1,307.33

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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.