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Finding the Fourth Proportional to 2,376.92, 3,563.78 and 837.08

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Solution

The fourth proportional to 2,376.92, 3,563.78 and 837.08 is: 1,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.92 : 3,563.78 = 837.08 : x
  2. Step 2: Convert to fraction form
    2,376.92/3,563.78 = 837.08/x
  3. Step 3: Cross multiply
    2,376.92x = 3,563.78 × 837.08
  4. Step 4: Simplify right side
    2,376.92x = 2,983,168.96
  5. Step 5: Solve for x
    x = 2,983,168.96/2,376.92
  6. Step 6: Final answer
    x = 1,255.06

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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.