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Finding the Fourth Proportional to 4,156.89, 6,231.24 and 1,693.44

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Solution

The fourth proportional to 4,156.89, 6,231.24 and 1,693.44 is: 2,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.89 : 6,231.24 = 1,693.44 : x
  2. Step 2: Convert to fraction form
    4,156.89/6,231.24 = 1,693.44/x
  3. Step 3: Cross multiply
    4,156.89x = 6,231.24 × 1,693.44
  4. Step 4: Simplify right side
    4,156.89x = 10,552,259.74
  5. Step 5: Solve for x
    x = 10,552,259.74/4,156.89
  6. Step 6: Final answer
    x = 2,538.50

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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.