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Finding the Fourth Proportional to 3,478.50, 4,802.85 and 2,238.66

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Solution

The fourth proportional to 3,478.50, 4,802.85 and 2,238.66 is: 3,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.50 : 4,802.85 = 2,238.66 : x
  2. Step 2: Convert to fraction form
    3,478.50/4,802.85 = 2,238.66/x
  3. Step 3: Cross multiply
    3,478.50x = 4,802.85 × 2,238.66
  4. Step 4: Simplify right side
    3,478.50x = 10,751,948.18
  5. Step 5: Solve for x
    x = 10,751,948.18/3,478.50
  6. Step 6: Final answer
    x = 3,090.97

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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.