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Finding the Fourth Proportional to 2,288.56, 3,431.70 and 989.56

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Solution

The fourth proportional to 2,288.56, 3,431.70 and 989.56 is: 1,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.56 : 3,431.70 = 989.56 : x
  2. Step 2: Convert to fraction form
    2,288.56/3,431.70 = 989.56/x
  3. Step 3: Cross multiply
    2,288.56x = 3,431.70 × 989.56
  4. Step 4: Simplify right side
    2,288.56x = 3,395,873.05
  5. Step 5: Solve for x
    x = 3,395,873.05/2,288.56
  6. Step 6: Final answer
    x = 1,483.85

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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.