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Finding the Fourth Proportional to 2,721.80, 3,802.30 and 2,721.80

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Solution

The fourth proportional to 2,721.80, 3,802.30 and 2,721.80 is: 3,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.80 : 3,802.30 = 2,721.80 : x
  2. Step 2: Convert to fraction form
    2,721.80/3,802.30 = 2,721.80/x
  3. Step 3: Cross multiply
    2,721.80x = 3,802.30 × 2,721.80
  4. Step 4: Simplify right side
    2,721.80x = 10,349,100.14
  5. Step 5: Solve for x
    x = 10,349,100.14/2,721.80
  6. Step 6: Final answer
    x = 3,802.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.