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Finding the Fourth Proportional to 2,290.84, 3,438.42 and 1,195.96

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Solution

The fourth proportional to 2,290.84, 3,438.42 and 1,195.96 is: 1,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.84 : 3,438.42 = 1,195.96 : x
  2. Step 2: Convert to fraction form
    2,290.84/3,438.42 = 1,195.96/x
  3. Step 3: Cross multiply
    2,290.84x = 3,438.42 × 1,195.96
  4. Step 4: Simplify right side
    2,290.84x = 4,112,212.78
  5. Step 5: Solve for x
    x = 4,112,212.78/2,290.84
  6. Step 6: Final answer
    x = 1,795.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.