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Finding the Fourth Proportional to 2,263.86, 3,393.63 and 802.22

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Solution

The fourth proportional to 2,263.86, 3,393.63 and 802.22 is: 1,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.86 : 3,393.63 = 802.22 : x
  2. Step 2: Convert to fraction form
    2,263.86/3,393.63 = 802.22/x
  3. Step 3: Cross multiply
    2,263.86x = 3,393.63 × 802.22
  4. Step 4: Simplify right side
    2,263.86x = 2,722,420.89
  5. Step 5: Solve for x
    x = 2,722,420.89/2,263.86
  6. Step 6: Final answer
    x = 1,202.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.