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Finding the Fourth Proportional to 2,867.87, 4,301.73 and 1,136.50

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Solution

The fourth proportional to 2,867.87, 4,301.73 and 1,136.50 is: 1,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.87 : 4,301.73 = 1,136.50 : x
  2. Step 2: Convert to fraction form
    2,867.87/4,301.73 = 1,136.50/x
  3. Step 3: Cross multiply
    2,867.87x = 4,301.73 × 1,136.50
  4. Step 4: Simplify right side
    2,867.87x = 4,888,905.39
  5. Step 5: Solve for x
    x = 4,888,905.39/2,867.87
  6. Step 6: Final answer
    x = 1,704.72

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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.