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Finding the Fourth Proportional to 2,057.41, 3,086.12 and 962.55

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Solution

The fourth proportional to 2,057.41, 3,086.12 and 962.55 is: 1,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.41 : 3,086.12 = 962.55 : x
  2. Step 2: Convert to fraction form
    2,057.41/3,086.12 = 962.55/x
  3. Step 3: Cross multiply
    2,057.41x = 3,086.12 × 962.55
  4. Step 4: Simplify right side
    2,057.41x = 2,970,530.81
  5. Step 5: Solve for x
    x = 2,970,530.81/2,057.41
  6. Step 6: Final answer
    x = 1,443.82

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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.