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Finding the Fourth Proportional to 3,287.69, 4,537.05 and 1,795.61

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Solution

The fourth proportional to 3,287.69, 4,537.05 and 1,795.61 is: 2,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.69 : 4,537.05 = 1,795.61 : x
  2. Step 2: Convert to fraction form
    3,287.69/4,537.05 = 1,795.61/x
  3. Step 3: Cross multiply
    3,287.69x = 4,537.05 × 1,795.61
  4. Step 4: Simplify right side
    3,287.69x = 8,146,763.37
  5. Step 5: Solve for x
    x = 8,146,763.37/3,287.69
  6. Step 6: Final answer
    x = 2,477.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.