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Finding the Fourth Proportional to 2,874.30, 4,310.88 and 1,231.02

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Solution

The fourth proportional to 2,874.30, 4,310.88 and 1,231.02 is: 1,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.30 : 4,310.88 = 1,231.02 : x
  2. Step 2: Convert to fraction form
    2,874.30/4,310.88 = 1,231.02/x
  3. Step 3: Cross multiply
    2,874.30x = 4,310.88 × 1,231.02
  4. Step 4: Simplify right side
    2,874.30x = 5,306,779.50
  5. Step 5: Solve for x
    x = 5,306,779.50/2,874.30
  6. Step 6: Final answer
    x = 1,846.29

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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.