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Finding the Fourth Proportional to 2,291.75, 3,160.78 and 1,583.44

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Solution

The fourth proportional to 2,291.75, 3,160.78 and 1,583.44 is: 2,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.75 : 3,160.78 = 1,583.44 : x
  2. Step 2: Convert to fraction form
    2,291.75/3,160.78 = 1,583.44/x
  3. Step 3: Cross multiply
    2,291.75x = 3,160.78 × 1,583.44
  4. Step 4: Simplify right side
    2,291.75x = 5,004,905.48
  5. Step 5: Solve for x
    x = 5,004,905.48/2,291.75
  6. Step 6: Final answer
    x = 2,183.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.