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Finding the Fourth Proportional to 3,115.50, 4,671.09 and 1,883.22

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Solution

The fourth proportional to 3,115.50, 4,671.09 and 1,883.22 is: 2,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.50 : 4,671.09 = 1,883.22 : x
  2. Step 2: Convert to fraction form
    3,115.50/4,671.09 = 1,883.22/x
  3. Step 3: Cross multiply
    3,115.50x = 4,671.09 × 1,883.22
  4. Step 4: Simplify right side
    3,115.50x = 8,796,690.11
  5. Step 5: Solve for x
    x = 8,796,690.11/3,115.50
  6. Step 6: Final answer
    x = 2,823.52

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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.