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Finding the Fourth Proportional to 3,022.79, 4,532.70 and 1,773.70

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Solution

The fourth proportional to 3,022.79, 4,532.70 and 1,773.70 is: 2,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.79 : 4,532.70 = 1,773.70 : x
  2. Step 2: Convert to fraction form
    3,022.79/4,532.70 = 1,773.70/x
  3. Step 3: Cross multiply
    3,022.79x = 4,532.70 × 1,773.70
  4. Step 4: Simplify right side
    3,022.79x = 8,039,661.32
  5. Step 5: Solve for x
    x = 8,039,661.32/3,022.79
  6. Step 6: Final answer
    x = 2,659.68

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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.