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Finding the Fourth Proportional to 2,080.08, 3,120.05 and 847.18

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Solution

The fourth proportional to 2,080.08, 3,120.05 and 847.18 is: 1,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.08 : 3,120.05 = 847.18 : x
  2. Step 2: Convert to fraction form
    2,080.08/3,120.05 = 847.18/x
  3. Step 3: Cross multiply
    2,080.08x = 3,120.05 × 847.18
  4. Step 4: Simplify right side
    2,080.08x = 2,643,243.96
  5. Step 5: Solve for x
    x = 2,643,243.96/2,080.08
  6. Step 6: Final answer
    x = 1,270.74

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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.