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Finding the Fourth Proportional to 2,911.74, 4,020.06 and 2,238.24

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Solution

The fourth proportional to 2,911.74, 4,020.06 and 2,238.24 is: 3,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.74 : 4,020.06 = 2,238.24 : x
  2. Step 2: Convert to fraction form
    2,911.74/4,020.06 = 2,238.24/x
  3. Step 3: Cross multiply
    2,911.74x = 4,020.06 × 2,238.24
  4. Step 4: Simplify right side
    2,911.74x = 8,997,859.09
  5. Step 5: Solve for x
    x = 8,997,859.09/2,911.74
  6. Step 6: Final answer
    x = 3,090.20

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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.