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Finding the Fourth Proportional to 2,294.04, 3,441.46 and 835.22

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Solution

The fourth proportional to 2,294.04, 3,441.46 and 835.22 is: 1,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.04 : 3,441.46 = 835.22 : x
  2. Step 2: Convert to fraction form
    2,294.04/3,441.46 = 835.22/x
  3. Step 3: Cross multiply
    2,294.04x = 3,441.46 × 835.22
  4. Step 4: Simplify right side
    2,294.04x = 2,874,376.22
  5. Step 5: Solve for x
    x = 2,874,376.22/2,294.04
  6. Step 6: Final answer
    x = 1,252.98

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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.