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Finding the Fourth Proportional to 3,077.69, 4,609.17 and 1,775.21

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Solution

The fourth proportional to 3,077.69, 4,609.17 and 1,775.21 is: 2,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.69 : 4,609.17 = 1,775.21 : x
  2. Step 2: Convert to fraction form
    3,077.69/4,609.17 = 1,775.21/x
  3. Step 3: Cross multiply
    3,077.69x = 4,609.17 × 1,775.21
  4. Step 4: Simplify right side
    3,077.69x = 8,182,221.63
  5. Step 5: Solve for x
    x = 8,182,221.63/3,077.69
  6. Step 6: Final answer
    x = 2,658.56

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1.5x scale

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.