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Finding the Fourth Proportional to 2,080.76, 3,120.86 and 619.64

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Solution

The fourth proportional to 2,080.76, 3,120.86 and 619.64 is: 929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.76 : 3,120.86 = 619.64 : x
  2. Step 2: Convert to fraction form
    2,080.76/3,120.86 = 619.64/x
  3. Step 3: Cross multiply
    2,080.76x = 3,120.86 × 619.64
  4. Step 4: Simplify right side
    2,080.76x = 1,933,809.69
  5. Step 5: Solve for x
    x = 1,933,809.69/2,080.76
  6. Step 6: Final answer
    x = 929.38

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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.