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Finding the Fourth Proportional to 2,272.46, 3,410.00 and 886.75

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Solution

The fourth proportional to 2,272.46, 3,410.00 and 886.75 is: 1,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.46 : 3,410.00 = 886.75 : x
  2. Step 2: Convert to fraction form
    2,272.46/3,410.00 = 886.75/x
  3. Step 3: Cross multiply
    2,272.46x = 3,410.00 × 886.75
  4. Step 4: Simplify right side
    2,272.46x = 3,023,807.87
  5. Step 5: Solve for x
    x = 3,023,807.87/2,272.46
  6. Step 6: Final answer
    x = 1,330.63

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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.