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Finding the Fourth Proportional to 3,022.70, 4,534.05 and 2,720.30

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Solution

The fourth proportional to 3,022.70, 4,534.05 and 2,720.30 is: 4,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.70 : 4,534.05 = 2,720.30 : x
  2. Step 2: Convert to fraction form
    3,022.70/4,534.05 = 2,720.30/x
  3. Step 3: Cross multiply
    3,022.70x = 4,534.05 × 2,720.30
  4. Step 4: Simplify right side
    3,022.70x = 12,333,976.22
  5. Step 5: Solve for x
    x = 12,333,976.22/3,022.70
  6. Step 6: Final answer
    x = 4,080.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.