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Finding the Fourth Proportional to 3,104.85, 4,649.66 and 2,005.89

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Solution

The fourth proportional to 3,104.85, 4,649.66 and 2,005.89 is: 3,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.85 : 4,649.66 = 2,005.89 : x
  2. Step 2: Convert to fraction form
    3,104.85/4,649.66 = 2,005.89/x
  3. Step 3: Cross multiply
    3,104.85x = 4,649.66 × 2,005.89
  4. Step 4: Simplify right side
    3,104.85x = 9,326,706.50
  5. Step 5: Solve for x
    x = 9,326,706.50/3,104.85
  6. Step 6: Final answer
    x = 3,003.92

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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.