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Finding the Fourth Proportional to 2,872.50, 4,300.34 and 2,181.87

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Solution

The fourth proportional to 2,872.50, 4,300.34 and 2,181.87 is: 3,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.50 : 4,300.34 = 2,181.87 : x
  2. Step 2: Convert to fraction form
    2,872.50/4,300.34 = 2,181.87/x
  3. Step 3: Cross multiply
    2,872.50x = 4,300.34 × 2,181.87
  4. Step 4: Simplify right side
    2,872.50x = 9,382,784.20
  5. Step 5: Solve for x
    x = 9,382,784.20/2,872.50
  6. Step 6: Final answer
    x = 3,266.42

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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.