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Finding the Fourth Proportional to 2,539, 3,808.46 and 1,077.94

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Solution

The fourth proportional to 2,539, 3,808.46 and 1,077.94 is: 1,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539 : 3,808.46 = 1,077.94 : x
  2. Step 2: Convert to fraction form
    2,539/3,808.46 = 1,077.94/x
  3. Step 3: Cross multiply
    2,539x = 3,808.46 × 1,077.94
  4. Step 4: Simplify right side
    2,539x = 4,105,291.37
  5. Step 5: Solve for x
    x = 4,105,291.37/2,539
  6. Step 6: Final answer
    x = 1,616.89

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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.