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Finding the Fourth Proportional to 2,099.01, 3,147.85 and 764.64

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Solution

The fourth proportional to 2,099.01, 3,147.85 and 764.64 is: 1,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.01 : 3,147.85 = 764.64 : x
  2. Step 2: Convert to fraction form
    2,099.01/3,147.85 = 764.64/x
  3. Step 3: Cross multiply
    2,099.01x = 3,147.85 × 764.64
  4. Step 4: Simplify right side
    2,099.01x = 2,406,972.02
  5. Step 5: Solve for x
    x = 2,406,972.02/2,099.01
  6. Step 6: Final answer
    x = 1,146.72

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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.