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Finding the Fourth Proportional to 2,262.74, 3,394.47 and 964.22

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Solution

The fourth proportional to 2,262.74, 3,394.47 and 964.22 is: 1,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.74 : 3,394.47 = 964.22 : x
  2. Step 2: Convert to fraction form
    2,262.74/3,394.47 = 964.22/x
  3. Step 3: Cross multiply
    2,262.74x = 3,394.47 × 964.22
  4. Step 4: Simplify right side
    2,262.74x = 3,273,015.86
  5. Step 5: Solve for x
    x = 3,273,015.86/2,262.74
  6. Step 6: Final answer
    x = 1,446.48

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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.