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Finding the Fourth Proportional to 2,080.18, 3,119.97 and 693.51

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Solution

The fourth proportional to 2,080.18, 3,119.97 and 693.51 is: 1,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.18 : 3,119.97 = 693.51 : x
  2. Step 2: Convert to fraction form
    2,080.18/3,119.97 = 693.51/x
  3. Step 3: Cross multiply
    2,080.18x = 3,119.97 × 693.51
  4. Step 4: Simplify right side
    2,080.18x = 2,163,734.94
  5. Step 5: Solve for x
    x = 2,163,734.94/2,080.18
  6. Step 6: Final answer
    x = 1,040.17

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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.