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Finding the Fourth Proportional to 2,971.48, 4,100.22 and 2,040.28

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Solution

The fourth proportional to 2,971.48, 4,100.22 and 2,040.28 is: 2,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.48 : 4,100.22 = 2,040.28 : x
  2. Step 2: Convert to fraction form
    2,971.48/4,100.22 = 2,040.28/x
  3. Step 3: Cross multiply
    2,971.48x = 4,100.22 × 2,040.28
  4. Step 4: Simplify right side
    2,971.48x = 8,365,596.86
  5. Step 5: Solve for x
    x = 8,365,596.86/2,971.48
  6. Step 6: Final answer
    x = 2,815.30

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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.