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Finding the Fourth Proportional to 2,080.51, 3,121.28 and 619.62

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Solution

The fourth proportional to 2,080.51, 3,121.28 and 619.62 is: 929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.51 : 3,121.28 = 619.62 : x
  2. Step 2: Convert to fraction form
    2,080.51/3,121.28 = 619.62/x
  3. Step 3: Cross multiply
    2,080.51x = 3,121.28 × 619.62
  4. Step 4: Simplify right side
    2,080.51x = 1,934,007.51
  5. Step 5: Solve for x
    x = 1,934,007.51/2,080.51
  6. Step 6: Final answer
    x = 929.58

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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.