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Finding the Fourth Proportional to 2,080.47, 3,120.72 and 619.65

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Solution

The fourth proportional to 2,080.47, 3,120.72 and 619.65 is: 929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.47 : 3,120.72 = 619.65 : x
  2. Step 2: Convert to fraction form
    2,080.47/3,120.72 = 619.65/x
  3. Step 3: Cross multiply
    2,080.47x = 3,120.72 × 619.65
  4. Step 4: Simplify right side
    2,080.47x = 1,933,754.15
  5. Step 5: Solve for x
    x = 1,933,754.15/2,080.47
  6. Step 6: Final answer
    x = 929.48

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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.