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Finding the Fourth Proportional to 2,794.65, 3,837.55 and 2,499.81

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Solution

The fourth proportional to 2,794.65, 3,837.55 and 2,499.81 is: 3,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.65 : 3,837.55 = 2,499.81 : x
  2. Step 2: Convert to fraction form
    2,794.65/3,837.55 = 2,499.81/x
  3. Step 3: Cross multiply
    2,794.65x = 3,837.55 × 2,499.81
  4. Step 4: Simplify right side
    2,794.65x = 9,593,145.87
  5. Step 5: Solve for x
    x = 9,593,145.87/2,794.65
  6. Step 6: Final answer
    x = 3,432.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.