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Finding the Fourth Proportional to 2,231.84, 3,080.25 and 1,287.69

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Solution

The fourth proportional to 2,231.84, 3,080.25 and 1,287.69 is: 1,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.84 : 3,080.25 = 1,287.69 : x
  2. Step 2: Convert to fraction form
    2,231.84/3,080.25 = 1,287.69/x
  3. Step 3: Cross multiply
    2,231.84x = 3,080.25 × 1,287.69
  4. Step 4: Simplify right side
    2,231.84x = 3,966,407.12
  5. Step 5: Solve for x
    x = 3,966,407.12/2,231.84
  6. Step 6: Final answer
    x = 1,777.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.