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Finding the Fourth Proportional to 2,080.23, 3,119.31 and 693.08

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Solution

The fourth proportional to 2,080.23, 3,119.31 and 693.08 is: 1,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.23 : 3,119.31 = 693.08 : x
  2. Step 2: Convert to fraction form
    2,080.23/3,119.31 = 693.08/x
  3. Step 3: Cross multiply
    2,080.23x = 3,119.31 × 693.08
  4. Step 4: Simplify right side
    2,080.23x = 2,161,931.37
  5. Step 5: Solve for x
    x = 2,161,931.37/2,080.23
  6. Step 6: Final answer
    x = 1,039.28

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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.