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Finding the Fourth Proportional to 4,293, 6,441.93 and 1,984.50

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Solution

The fourth proportional to 4,293, 6,441.93 and 1,984.50 is: 2,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293 : 6,441.93 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    4,293/6,441.93 = 1,984.50/x
  3. Step 3: Cross multiply
    4,293x = 6,441.93 × 1,984.50
  4. Step 4: Simplify right side
    4,293x = 12,784,010.09
  5. Step 5: Solve for x
    x = 12,784,010.09/4,293
  6. Step 6: Final answer
    x = 2,977.87

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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.