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Finding the Fourth Proportional to 3,211.56, 4,814.14 and 1,913.64

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Solution

The fourth proportional to 3,211.56, 4,814.14 and 1,913.64 is: 2,868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.56 : 4,814.14 = 1,913.64 : x
  2. Step 2: Convert to fraction form
    3,211.56/4,814.14 = 1,913.64/x
  3. Step 3: Cross multiply
    3,211.56x = 4,814.14 × 1,913.64
  4. Step 4: Simplify right side
    3,211.56x = 9,212,530.87
  5. Step 5: Solve for x
    x = 9,212,530.87/3,211.56
  6. Step 6: Final answer
    x = 2,868.55

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1.5x scale

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.