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Finding the Fourth Proportional to 2,080.23, 3,117.99 and 846.09

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Solution

The fourth proportional to 2,080.23, 3,117.99 and 846.09 is: 1,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.23 : 3,117.99 = 846.09 : x
  2. Step 2: Convert to fraction form
    2,080.23/3,117.99 = 846.09/x
  3. Step 3: Cross multiply
    2,080.23x = 3,117.99 × 846.09
  4. Step 4: Simplify right side
    2,080.23x = 2,638,100.16
  5. Step 5: Solve for x
    x = 2,638,100.16/2,080.23
  6. Step 6: Final answer
    x = 1,268.18

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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.