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Finding the Fourth Proportional to 3,614.55, 5,422.86 and 1,765.68

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Solution

The fourth proportional to 3,614.55, 5,422.86 and 1,765.68 is: 2,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.55 : 5,422.86 = 1,765.68 : x
  2. Step 2: Convert to fraction form
    3,614.55/5,422.86 = 1,765.68/x
  3. Step 3: Cross multiply
    3,614.55x = 5,422.86 × 1,765.68
  4. Step 4: Simplify right side
    3,614.55x = 9,575,035.44
  5. Step 5: Solve for x
    x = 9,575,035.44/3,614.55
  6. Step 6: Final answer
    x = 2,649.03

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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.