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Finding the Fourth Proportional to 3,064.94, 4,599.68 and 2,245.30

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Solution

The fourth proportional to 3,064.94, 4,599.68 and 2,245.30 is: 3,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.94 : 4,599.68 = 2,245.30 : x
  2. Step 2: Convert to fraction form
    3,064.94/4,599.68 = 2,245.30/x
  3. Step 3: Cross multiply
    3,064.94x = 4,599.68 × 2,245.30
  4. Step 4: Simplify right side
    3,064.94x = 10,327,661.50
  5. Step 5: Solve for x
    x = 10,327,661.50/3,064.94
  6. Step 6: Final answer
    x = 3,369.61

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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.