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Finding the Fourth Proportional to 2,290.85, 3,436.59 and 730.69

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Solution

The fourth proportional to 2,290.85, 3,436.59 and 730.69 is: 1,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.85 : 3,436.59 = 730.69 : x
  2. Step 2: Convert to fraction form
    2,290.85/3,436.59 = 730.69/x
  3. Step 3: Cross multiply
    2,290.85x = 3,436.59 × 730.69
  4. Step 4: Simplify right side
    2,290.85x = 2,511,076.10
  5. Step 5: Solve for x
    x = 2,511,076.10/2,290.85
  6. Step 6: Final answer
    x = 1,096.13

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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.