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Finding the Fourth Proportional to 1,989.70, 2,984.13 and 756.68

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Solution

The fourth proportional to 1,989.70, 2,984.13 and 756.68 is: 1,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.70 : 2,984.13 = 756.68 : x
  2. Step 2: Convert to fraction form
    1,989.70/2,984.13 = 756.68/x
  3. Step 3: Cross multiply
    1,989.70x = 2,984.13 × 756.68
  4. Step 4: Simplify right side
    1,989.70x = 2,258,016.57
  5. Step 5: Solve for x
    x = 2,258,016.57/1,989.70
  6. Step 6: Final answer
    x = 1,134.85

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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.