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Finding the Fourth Proportional to 2,261.91, 3,392.96 and 962.49

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Solution

The fourth proportional to 2,261.91, 3,392.96 and 962.49 is: 1,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.91 : 3,392.96 = 962.49 : x
  2. Step 2: Convert to fraction form
    2,261.91/3,392.96 = 962.49/x
  3. Step 3: Cross multiply
    2,261.91x = 3,392.96 × 962.49
  4. Step 4: Simplify right side
    2,261.91x = 3,265,685.26
  5. Step 5: Solve for x
    x = 3,265,685.26/2,261.91
  6. Step 6: Final answer
    x = 1,443.77

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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.