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Finding the Fourth Proportional to 2,410.86, 3,615.57 and 871.50

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Solution

The fourth proportional to 2,410.86, 3,615.57 and 871.50 is: 1,306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.86 : 3,615.57 = 871.50 : x
  2. Step 2: Convert to fraction form
    2,410.86/3,615.57 = 871.50/x
  3. Step 3: Cross multiply
    2,410.86x = 3,615.57 × 871.50
  4. Step 4: Simplify right side
    2,410.86x = 3,150,969.26
  5. Step 5: Solve for x
    x = 3,150,969.26/2,410.86
  6. Step 6: Final answer
    x = 1,306.99

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Why These Related Problems?

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