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Finding the Fourth Proportional to 2,194.56, 3,024.81 and 1,604.34

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Solution

The fourth proportional to 2,194.56, 3,024.81 and 1,604.34 is: 2,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.56 : 3,024.81 = 1,604.34 : x
  2. Step 2: Convert to fraction form
    2,194.56/3,024.81 = 1,604.34/x
  3. Step 3: Cross multiply
    2,194.56x = 3,024.81 × 1,604.34
  4. Step 4: Simplify right side
    2,194.56x = 4,852,823.68
  5. Step 5: Solve for x
    x = 4,852,823.68/2,194.56
  6. Step 6: Final answer
    x = 2,211.30

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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.