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Finding the Fourth Proportional to 2,245.96, 3,368.15 and 858.56

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Solution

The fourth proportional to 2,245.96, 3,368.15 and 858.56 is: 1,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.96 : 3,368.15 = 858.56 : x
  2. Step 2: Convert to fraction form
    2,245.96/3,368.15 = 858.56/x
  3. Step 3: Cross multiply
    2,245.96x = 3,368.15 × 858.56
  4. Step 4: Simplify right side
    2,245.96x = 2,891,754.57
  5. Step 5: Solve for x
    x = 2,891,754.57/2,245.96
  6. Step 6: Final answer
    x = 1,287.54

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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.