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Finding the Fourth Proportional to 2,802.22, 4,203.27 and 722.20

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Solution

The fourth proportional to 2,802.22, 4,203.27 and 722.20 is: 1,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.22 : 4,203.27 = 722.20 : x
  2. Step 2: Convert to fraction form
    2,802.22/4,203.27 = 722.20/x
  3. Step 3: Cross multiply
    2,802.22x = 4,203.27 × 722.20
  4. Step 4: Simplify right side
    2,802.22x = 3,035,601.59
  5. Step 5: Solve for x
    x = 3,035,601.59/2,802.22
  6. Step 6: Final answer
    x = 1,083.28

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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.