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Finding the Fourth Proportional to 2,980.06, 4,469.88 and 788.74

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Solution

The fourth proportional to 2,980.06, 4,469.88 and 788.74 is: 1,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.06 : 4,469.88 = 788.74 : x
  2. Step 2: Convert to fraction form
    2,980.06/4,469.88 = 788.74/x
  3. Step 3: Cross multiply
    2,980.06x = 4,469.88 × 788.74
  4. Step 4: Simplify right side
    2,980.06x = 3,525,573.15
  5. Step 5: Solve for x
    x = 3,525,573.15/2,980.06
  6. Step 6: Final answer
    x = 1,183.05

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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.