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Finding the Fourth Proportional to 3,048.06, 4,206.41 and 1,721.97

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Solution

The fourth proportional to 3,048.06, 4,206.41 and 1,721.97 is: 2,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.06 : 4,206.41 = 1,721.97 : x
  2. Step 2: Convert to fraction form
    3,048.06/4,206.41 = 1,721.97/x
  3. Step 3: Cross multiply
    3,048.06x = 4,206.41 × 1,721.97
  4. Step 4: Simplify right side
    3,048.06x = 7,243,290.80
  5. Step 5: Solve for x
    x = 7,243,290.80/3,048.06
  6. Step 6: Final answer
    x = 2,376.36

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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.