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Finding the Fourth Proportional to 1,671.87, 2,509.35 and 850.71

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Solution

The fourth proportional to 1,671.87, 2,509.35 and 850.71 is: 1,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.87 : 2,509.35 = 850.71 : x
  2. Step 2: Convert to fraction form
    1,671.87/2,509.35 = 850.71/x
  3. Step 3: Cross multiply
    1,671.87x = 2,509.35 × 850.71
  4. Step 4: Simplify right side
    1,671.87x = 2,134,729.14
  5. Step 5: Solve for x
    x = 2,134,729.14/1,671.87
  6. Step 6: Final answer
    x = 1,276.85

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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.