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Finding the Fourth Proportional to 2,173.04, 3,259 and 712.24

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Solution

The fourth proportional to 2,173.04, 3,259 and 712.24 is: 1,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.04 : 3,259 = 712.24 : x
  2. Step 2: Convert to fraction form
    2,173.04/3,259 = 712.24/x
  3. Step 3: Cross multiply
    2,173.04x = 3,259 × 712.24
  4. Step 4: Simplify right side
    2,173.04x = 2,321,190.16
  5. Step 5: Solve for x
    x = 2,321,190.16/2,173.04
  6. Step 6: Final answer
    x = 1,068.18

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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.