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Finding the Fourth Proportional to 2,845.85, 4,268.16 and 896.99

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Solution

The fourth proportional to 2,845.85, 4,268.16 and 896.99 is: 1,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.85 : 4,268.16 = 896.99 : x
  2. Step 2: Convert to fraction form
    2,845.85/4,268.16 = 896.99/x
  3. Step 3: Cross multiply
    2,845.85x = 4,268.16 × 896.99
  4. Step 4: Simplify right side
    2,845.85x = 3,828,496.84
  5. Step 5: Solve for x
    x = 3,828,496.84/2,845.85
  6. Step 6: Final answer
    x = 1,345.29

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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.