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Finding the Fourth Proportional to 2,078.70, 3,118.02 and 518.72

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Solution

The fourth proportional to 2,078.70, 3,118.02 and 518.72 is: 778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.70 : 3,118.02 = 518.72 : x
  2. Step 2: Convert to fraction form
    2,078.70/3,118.02 = 518.72/x
  3. Step 3: Cross multiply
    2,078.70x = 3,118.02 × 518.72
  4. Step 4: Simplify right side
    2,078.70x = 1,617,379.33
  5. Step 5: Solve for x
    x = 1,617,379.33/2,078.70
  6. Step 6: Final answer
    x = 778.07

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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.