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Finding the Fourth Proportional to 2,261.96, 3,392.94 and 723.08

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Solution

The fourth proportional to 2,261.96, 3,392.94 and 723.08 is: 1,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.96 : 3,392.94 = 723.08 : x
  2. Step 2: Convert to fraction form
    2,261.96/3,392.94 = 723.08/x
  3. Step 3: Cross multiply
    2,261.96x = 3,392.94 × 723.08
  4. Step 4: Simplify right side
    2,261.96x = 2,453,367.06
  5. Step 5: Solve for x
    x = 2,453,367.06/2,261.96
  6. Step 6: Final answer
    x = 1,084.62

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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.