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Finding the Fourth Proportional to 2,980.11, 4,470.38 and 788.81

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Solution

The fourth proportional to 2,980.11, 4,470.38 and 788.81 is: 1,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.11 : 4,470.38 = 788.81 : x
  2. Step 2: Convert to fraction form
    2,980.11/4,470.38 = 788.81/x
  3. Step 3: Cross multiply
    2,980.11x = 4,470.38 × 788.81
  4. Step 4: Simplify right side
    2,980.11x = 3,526,293.60
  5. Step 5: Solve for x
    x = 3,526,293.60/2,980.11
  6. Step 6: Final answer
    x = 1,183.28

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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.