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Finding the Fourth Proportional to 2,540.08, 3,809.87 and 784.61

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Solution

The fourth proportional to 2,540.08, 3,809.87 and 784.61 is: 1,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.08 : 3,809.87 = 784.61 : x
  2. Step 2: Convert to fraction form
    2,540.08/3,809.87 = 784.61/x
  3. Step 3: Cross multiply
    2,540.08x = 3,809.87 × 784.61
  4. Step 4: Simplify right side
    2,540.08x = 2,989,273.59
  5. Step 5: Solve for x
    x = 2,989,273.59/2,540.08
  6. Step 6: Final answer
    x = 1,176.84

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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.