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Finding the Fourth Proportional to 2,173.82, 3,261.15 and 713.06

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Solution

The fourth proportional to 2,173.82, 3,261.15 and 713.06 is: 1,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.82 : 3,261.15 = 713.06 : x
  2. Step 2: Convert to fraction form
    2,173.82/3,261.15 = 713.06/x
  3. Step 3: Cross multiply
    2,173.82x = 3,261.15 × 713.06
  4. Step 4: Simplify right side
    2,173.82x = 2,325,392.05
  5. Step 5: Solve for x
    x = 2,325,392.05/2,173.82
  6. Step 6: Final answer
    x = 1,069.73

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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.