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Finding the Fourth Proportional to 2,980.41, 4,112.61 and 1,721.46

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Solution

The fourth proportional to 2,980.41, 4,112.61 and 1,721.46 is: 2,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.41 : 4,112.61 = 1,721.46 : x
  2. Step 2: Convert to fraction form
    2,980.41/4,112.61 = 1,721.46/x
  3. Step 3: Cross multiply
    2,980.41x = 4,112.61 × 1,721.46
  4. Step 4: Simplify right side
    2,980.41x = 7,079,693.61
  5. Step 5: Solve for x
    x = 7,079,693.61/2,980.41
  6. Step 6: Final answer
    x = 2,375.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.