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Finding the Fourth Proportional to 2,262.25, 3,394.19 and 723.25

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Solution

The fourth proportional to 2,262.25, 3,394.19 and 723.25 is: 1,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.25 : 3,394.19 = 723.25 : x
  2. Step 2: Convert to fraction form
    2,262.25/3,394.19 = 723.25/x
  3. Step 3: Cross multiply
    2,262.25x = 3,394.19 × 723.25
  4. Step 4: Simplify right side
    2,262.25x = 2,454,847.92
  5. Step 5: Solve for x
    x = 2,454,847.92/2,262.25
  6. Step 6: Final answer
    x = 1,085.14

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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.