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Finding the Fourth Proportional to 2,980.33, 4,470.49 and 1,131.00

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Solution

The fourth proportional to 2,980.33, 4,470.49 and 1,131.00 is: 1,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.33 : 4,470.49 = 1,131.00 : x
  2. Step 2: Convert to fraction form
    2,980.33/4,470.49 = 1,131.00/x
  3. Step 3: Cross multiply
    2,980.33x = 4,470.49 × 1,131.00
  4. Step 4: Simplify right side
    2,980.33x = 5,056,146.56
  5. Step 5: Solve for x
    x = 5,056,146.56/2,980.33
  6. Step 6: Final answer
    x = 1,696.51

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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.