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Finding the Fourth Proportional to 2,837, 3,915.06 and 1,595

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Solution

The fourth proportional to 2,837, 3,915.06 and 1,595 is: 2,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837 : 3,915.06 = 1,595 : x
  2. Step 2: Convert to fraction form
    2,837/3,915.06 = 1,595/x
  3. Step 3: Cross multiply
    2,837x = 3,915.06 × 1,595
  4. Step 4: Simplify right side
    2,837x = 6,244,520.70
  5. Step 5: Solve for x
    x = 6,244,520.70/2,837
  6. Step 6: Final answer
    x = 2,201.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.