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Finding the Fourth Proportional to 2,078.66, 3,118.50 and 617.80

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Solution

The fourth proportional to 2,078.66, 3,118.50 and 617.80 is: 926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.66 : 3,118.50 = 617.80 : x
  2. Step 2: Convert to fraction form
    2,078.66/3,118.50 = 617.80/x
  3. Step 3: Cross multiply
    2,078.66x = 3,118.50 × 617.80
  4. Step 4: Simplify right side
    2,078.66x = 1,926,609.30
  5. Step 5: Solve for x
    x = 1,926,609.30/2,078.66
  6. Step 6: Final answer
    x = 926.85

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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.