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Finding the Fourth Proportional to 2,980.04, 4,470.26 and 788.69

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Solution

The fourth proportional to 2,980.04, 4,470.26 and 788.69 is: 1,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.04 : 4,470.26 = 788.69 : x
  2. Step 2: Convert to fraction form
    2,980.04/4,470.26 = 788.69/x
  3. Step 3: Cross multiply
    2,980.04x = 4,470.26 × 788.69
  4. Step 4: Simplify right side
    2,980.04x = 3,525,656.59
  5. Step 5: Solve for x
    x = 3,525,656.59/2,980.04
  6. Step 6: Final answer
    x = 1,183.09

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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.