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Finding the Fourth Proportional to 2,299.95, 3,447.22 and 1,064.75

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Solution

The fourth proportional to 2,299.95, 3,447.22 and 1,064.75 is: 1,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.95 : 3,447.22 = 1,064.75 : x
  2. Step 2: Convert to fraction form
    2,299.95/3,447.22 = 1,064.75/x
  3. Step 3: Cross multiply
    2,299.95x = 3,447.22 × 1,064.75
  4. Step 4: Simplify right side
    2,299.95x = 3,670,404.94
  5. Step 5: Solve for x
    x = 3,670,404.94/2,299.95
  6. Step 6: Final answer
    x = 1,595.87

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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.