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Finding the Fourth Proportional to 2,180.08, 3,269.63 and 620.05

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Solution

The fourth proportional to 2,180.08, 3,269.63 and 620.05 is: 929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.08 : 3,269.63 = 620.05 : x
  2. Step 2: Convert to fraction form
    2,180.08/3,269.63 = 620.05/x
  3. Step 3: Cross multiply
    2,180.08x = 3,269.63 × 620.05
  4. Step 4: Simplify right side
    2,180.08x = 2,027,322.81
  5. Step 5: Solve for x
    x = 2,027,322.81/2,180.08
  6. Step 6: Final answer
    x = 929.93

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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.