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Finding the Fourth Proportional to 3,170.50, 4,754.13 and 1,856.83

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Solution

The fourth proportional to 3,170.50, 4,754.13 and 1,856.83 is: 2,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.50 : 4,754.13 = 1,856.83 : x
  2. Step 2: Convert to fraction form
    3,170.50/4,754.13 = 1,856.83/x
  3. Step 3: Cross multiply
    3,170.50x = 4,754.13 × 1,856.83
  4. Step 4: Simplify right side
    3,170.50x = 8,827,611.21
  5. Step 5: Solve for x
    x = 8,827,611.21/3,170.50
  6. Step 6: Final answer
    x = 2,784.30

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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.