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Finding the Fourth Proportional to 3,022.04, 4,532.95 and 830.71

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Solution

The fourth proportional to 3,022.04, 4,532.95 and 830.71 is: 1,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.04 : 4,532.95 = 830.71 : x
  2. Step 2: Convert to fraction form
    3,022.04/4,532.95 = 830.71/x
  3. Step 3: Cross multiply
    3,022.04x = 4,532.95 × 830.71
  4. Step 4: Simplify right side
    3,022.04x = 3,765,568.93
  5. Step 5: Solve for x
    x = 3,765,568.93/3,022.04
  6. Step 6: Final answer
    x = 1,246.03

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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.