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Finding the Fourth Proportional to 2,231.25, 3,080.43 and 1,486.25

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Solution

The fourth proportional to 2,231.25, 3,080.43 and 1,486.25 is: 2,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.25 : 3,080.43 = 1,486.25 : x
  2. Step 2: Convert to fraction form
    2,231.25/3,080.43 = 1,486.25/x
  3. Step 3: Cross multiply
    2,231.25x = 3,080.43 × 1,486.25
  4. Step 4: Simplify right side
    2,231.25x = 4,578,285.24
  5. Step 5: Solve for x
    x = 4,578,285.24/2,231.25
  6. Step 6: Final answer
    x = 2,051.90

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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.