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Finding the Fourth Proportional to 3,022.59, 4,533.06 and 830.80

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Solution

The fourth proportional to 3,022.59, 4,533.06 and 830.80 is: 1,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.59 : 4,533.06 = 830.80 : x
  2. Step 2: Convert to fraction form
    3,022.59/4,533.06 = 830.80/x
  3. Step 3: Cross multiply
    3,022.59x = 4,533.06 × 830.80
  4. Step 4: Simplify right side
    3,022.59x = 3,766,066.25
  5. Step 5: Solve for x
    x = 3,766,066.25/3,022.59
  6. Step 6: Final answer
    x = 1,245.97

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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.