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Finding the Fourth Proportional to 2,191.41, 3,024.09 and 2,015.09

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Solution

The fourth proportional to 2,191.41, 3,024.09 and 2,015.09 is: 2,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.41 : 3,024.09 = 2,015.09 : x
  2. Step 2: Convert to fraction form
    2,191.41/3,024.09 = 2,015.09/x
  3. Step 3: Cross multiply
    2,191.41x = 3,024.09 × 2,015.09
  4. Step 4: Simplify right side
    2,191.41x = 6,093,809.74
  5. Step 5: Solve for x
    x = 6,093,809.74/2,191.41
  6. Step 6: Final answer
    x = 2,780.77

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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.