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Finding the Fourth Proportional to 2,846.96, 4,268.28 and 898.04

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Solution

The fourth proportional to 2,846.96, 4,268.28 and 898.04 is: 1,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.96 : 4,268.28 = 898.04 : x
  2. Step 2: Convert to fraction form
    2,846.96/4,268.28 = 898.04/x
  3. Step 3: Cross multiply
    2,846.96x = 4,268.28 × 898.04
  4. Step 4: Simplify right side
    2,846.96x = 3,833,086.17
  5. Step 5: Solve for x
    x = 3,833,086.17/2,846.96
  6. Step 6: Final answer
    x = 1,346.38

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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.