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Finding the Fourth Proportional to 2,179.49, 3,268.74 and 619.46

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Solution

The fourth proportional to 2,179.49, 3,268.74 and 619.46 is: 929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.49 : 3,268.74 = 619.46 : x
  2. Step 2: Convert to fraction form
    2,179.49/3,268.74 = 619.46/x
  3. Step 3: Cross multiply
    2,179.49x = 3,268.74 × 619.46
  4. Step 4: Simplify right side
    2,179.49x = 2,024,851.92
  5. Step 5: Solve for x
    x = 2,024,851.92/2,179.49
  6. Step 6: Final answer
    x = 929.05

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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.