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Finding the Fourth Proportional to 2,080.15, 3,120.13 and 520.16

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Solution

The fourth proportional to 2,080.15, 3,120.13 and 520.16 is: 780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.15 : 3,120.13 = 520.16 : x
  2. Step 2: Convert to fraction form
    2,080.15/3,120.13 = 520.16/x
  3. Step 3: Cross multiply
    2,080.15x = 3,120.13 × 520.16
  4. Step 4: Simplify right side
    2,080.15x = 1,622,966.82
  5. Step 5: Solve for x
    x = 1,622,966.82/2,080.15
  6. Step 6: Final answer
    x = 780.22

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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.