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Finding the Fourth Proportional to 2,971.50, 4,093.52 and 2,499.41

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Solution

The fourth proportional to 2,971.50, 4,093.52 and 2,499.41 is: 3,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.50 : 4,093.52 = 2,499.41 : x
  2. Step 2: Convert to fraction form
    2,971.50/4,093.52 = 2,499.41/x
  3. Step 3: Cross multiply
    2,971.50x = 4,093.52 × 2,499.41
  4. Step 4: Simplify right side
    2,971.50x = 10,231,351.86
  5. Step 5: Solve for x
    x = 10,231,351.86/2,971.50
  6. Step 6: Final answer
    x = 3,443.16

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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.