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Finding the Fourth Proportional to 2,958.80, 4,429.62 and 2,080.16

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Solution

The fourth proportional to 2,958.80, 4,429.62 and 2,080.16 is: 3,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.80 : 4,429.62 = 2,080.16 : x
  2. Step 2: Convert to fraction form
    2,958.80/4,429.62 = 2,080.16/x
  3. Step 3: Cross multiply
    2,958.80x = 4,429.62 × 2,080.16
  4. Step 4: Simplify right side
    2,958.80x = 9,214,318.34
  5. Step 5: Solve for x
    x = 9,214,318.34/2,958.80
  6. Step 6: Final answer
    x = 3,114.21

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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.