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Finding the Fourth Proportional to 2,433.33, 3,647.84 and 893.97

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Solution

The fourth proportional to 2,433.33, 3,647.84 and 893.97 is: 1,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.33 : 3,647.84 = 893.97 : x
  2. Step 2: Convert to fraction form
    2,433.33/3,647.84 = 893.97/x
  3. Step 3: Cross multiply
    2,433.33x = 3,647.84 × 893.97
  4. Step 4: Simplify right side
    2,433.33x = 3,261,055.05
  5. Step 5: Solve for x
    x = 3,261,055.05/2,433.33
  6. Step 6: Final answer
    x = 1,340.16

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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.