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Finding the Fourth Proportional to 2,173.29, 3,259.62 and 712.25

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Solution

The fourth proportional to 2,173.29, 3,259.62 and 712.25 is: 1,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.29 : 3,259.62 = 712.25 : x
  2. Step 2: Convert to fraction form
    2,173.29/3,259.62 = 712.25/x
  3. Step 3: Cross multiply
    2,173.29x = 3,259.62 × 712.25
  4. Step 4: Simplify right side
    2,173.29x = 2,321,664.35
  5. Step 5: Solve for x
    x = 2,321,664.35/2,173.29
  6. Step 6: Final answer
    x = 1,068.27

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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.