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Finding the Fourth Proportional to 2,656.50, 3,984.76 and 807.62

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Solution

The fourth proportional to 2,656.50, 3,984.76 and 807.62 is: 1,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.50 : 3,984.76 = 807.62 : x
  2. Step 2: Convert to fraction form
    2,656.50/3,984.76 = 807.62/x
  3. Step 3: Cross multiply
    2,656.50x = 3,984.76 × 807.62
  4. Step 4: Simplify right side
    2,656.50x = 3,218,171.87
  5. Step 5: Solve for x
    x = 3,218,171.87/2,656.50
  6. Step 6: Final answer
    x = 1,211.43

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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.