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Finding the Fourth Proportional to 2,173.47, 3,259.08 and 712.14

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Solution

The fourth proportional to 2,173.47, 3,259.08 and 712.14 is: 1,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.47 : 3,259.08 = 712.14 : x
  2. Step 2: Convert to fraction form
    2,173.47/3,259.08 = 712.14/x
  3. Step 3: Cross multiply
    2,173.47x = 3,259.08 × 712.14
  4. Step 4: Simplify right side
    2,173.47x = 2,320,921.23
  5. Step 5: Solve for x
    x = 2,320,921.23/2,173.47
  6. Step 6: Final answer
    x = 1,067.84

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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.