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Finding the Fourth Proportional to 2,077.67, 3,116.51 and 517.67

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Solution

The fourth proportional to 2,077.67, 3,116.51 and 517.67 is: 776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.67 : 3,116.51 = 517.67 : x
  2. Step 2: Convert to fraction form
    2,077.67/3,116.51 = 517.67/x
  3. Step 3: Cross multiply
    2,077.67x = 3,116.51 × 517.67
  4. Step 4: Simplify right side
    2,077.67x = 1,613,321.14
  5. Step 5: Solve for x
    x = 1,613,321.14/2,077.67
  6. Step 6: Final answer
    x = 776.51

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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.