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Finding the Fourth Proportional to 2,262.22, 3,393.78 and 802.39

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Solution

The fourth proportional to 2,262.22, 3,393.78 and 802.39 is: 1,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.22 : 3,393.78 = 802.39 : x
  2. Step 2: Convert to fraction form
    2,262.22/3,393.78 = 802.39/x
  3. Step 3: Cross multiply
    2,262.22x = 3,393.78 × 802.39
  4. Step 4: Simplify right side
    2,262.22x = 2,723,135.13
  5. Step 5: Solve for x
    x = 2,723,135.13/2,262.22
  6. Step 6: Final answer
    x = 1,203.74

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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.