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Finding the Fourth Proportional to 2,173.64, 3,261.26 and 712.80

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Solution

The fourth proportional to 2,173.64, 3,261.26 and 712.80 is: 1,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.64 : 3,261.26 = 712.80 : x
  2. Step 2: Convert to fraction form
    2,173.64/3,261.26 = 712.80/x
  3. Step 3: Cross multiply
    2,173.64x = 3,261.26 × 712.80
  4. Step 4: Simplify right side
    2,173.64x = 2,324,627.91
  5. Step 5: Solve for x
    x = 2,324,627.91/2,173.64
  6. Step 6: Final answer
    x = 1,069.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.