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Finding the Fourth Proportional to 2,846.08, 4,268.64 and 898

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Solution

The fourth proportional to 2,846.08, 4,268.64 and 898 is: 1,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.08 : 4,268.64 = 898 : x
  2. Step 2: Convert to fraction form
    2,846.08/4,268.64 = 898/x
  3. Step 3: Cross multiply
    2,846.08x = 4,268.64 × 898
  4. Step 4: Simplify right side
    2,846.08x = 3,833,238.72
  5. Step 5: Solve for x
    x = 3,833,238.72/2,846.08
  6. Step 6: Final answer
    x = 1,346.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.