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Finding the Fourth Proportional to 3,113.78, 4,297.73 and 2,122.34

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Solution

The fourth proportional to 3,113.78, 4,297.73 and 2,122.34 is: 2,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.78 : 4,297.73 = 2,122.34 : x
  2. Step 2: Convert to fraction form
    3,113.78/4,297.73 = 2,122.34/x
  3. Step 3: Cross multiply
    3,113.78x = 4,297.73 × 2,122.34
  4. Step 4: Simplify right side
    3,113.78x = 9,121,212.19
  5. Step 5: Solve for x
    x = 9,121,212.19/3,113.78
  6. Step 6: Final answer
    x = 2,929.31

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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.