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Finding the Fourth Proportional to 2,814.73, 4,222.10 and 734.73

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Solution

The fourth proportional to 2,814.73, 4,222.10 and 734.73 is: 1,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.73 : 4,222.10 = 734.73 : x
  2. Step 2: Convert to fraction form
    2,814.73/4,222.10 = 734.73/x
  3. Step 3: Cross multiply
    2,814.73x = 4,222.10 × 734.73
  4. Step 4: Simplify right side
    2,814.73x = 3,102,103.53
  5. Step 5: Solve for x
    x = 3,102,103.53/2,814.73
  6. Step 6: Final answer
    x = 1,102.10

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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.