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Finding the Fourth Proportional to 2,115.46, 3,171.48 and 883.80

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Solution

The fourth proportional to 2,115.46, 3,171.48 and 883.80 is: 1,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.46 : 3,171.48 = 883.80 : x
  2. Step 2: Convert to fraction form
    2,115.46/3,171.48 = 883.80/x
  3. Step 3: Cross multiply
    2,115.46x = 3,171.48 × 883.80
  4. Step 4: Simplify right side
    2,115.46x = 2,802,954.02
  5. Step 5: Solve for x
    x = 2,802,954.02/2,115.46
  6. Step 6: Final answer
    x = 1,324.99

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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.