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Finding the Fourth Proportional to 2,980.97, 4,470.81 and 1,131.44

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Solution

The fourth proportional to 2,980.97, 4,470.81 and 1,131.44 is: 1,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.97 : 4,470.81 = 1,131.44 : x
  2. Step 2: Convert to fraction form
    2,980.97/4,470.81 = 1,131.44/x
  3. Step 3: Cross multiply
    2,980.97x = 4,470.81 × 1,131.44
  4. Step 4: Simplify right side
    2,980.97x = 5,058,430.91
  5. Step 5: Solve for x
    x = 5,058,430.91/2,980.97
  6. Step 6: Final answer
    x = 1,696.91

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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.