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Finding the Fourth Proportional to 2,225.78, 3,338.73 and 764.91

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Solution

The fourth proportional to 2,225.78, 3,338.73 and 764.91 is: 1,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.78 : 3,338.73 = 764.91 : x
  2. Step 2: Convert to fraction form
    2,225.78/3,338.73 = 764.91/x
  3. Step 3: Cross multiply
    2,225.78x = 3,338.73 × 764.91
  4. Step 4: Simplify right side
    2,225.78x = 2,553,827.96
  5. Step 5: Solve for x
    x = 2,553,827.96/2,225.78
  6. Step 6: Final answer
    x = 1,147.39

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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.