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Finding the Fourth Proportional to 2,874.27, 4,298.82 and 2,664.10

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Solution

The fourth proportional to 2,874.27, 4,298.82 and 2,664.10 is: 3,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.27 : 4,298.82 = 2,664.10 : x
  2. Step 2: Convert to fraction form
    2,874.27/4,298.82 = 2,664.10/x
  3. Step 3: Cross multiply
    2,874.27x = 4,298.82 × 2,664.10
  4. Step 4: Simplify right side
    2,874.27x = 11,452,486.36
  5. Step 5: Solve for x
    x = 11,452,486.36/2,874.27
  6. Step 6: Final answer
    x = 3,984.49

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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.