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Finding the Fourth Proportional to 1,993.77, 2,989.44 and 896.63

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Solution

The fourth proportional to 1,993.77, 2,989.44 and 896.63 is: 1,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.77 : 2,989.44 = 896.63 : x
  2. Step 2: Convert to fraction form
    1,993.77/2,989.44 = 896.63/x
  3. Step 3: Cross multiply
    1,993.77x = 2,989.44 × 896.63
  4. Step 4: Simplify right side
    1,993.77x = 2,680,406.64
  5. Step 5: Solve for x
    x = 2,680,406.64/1,993.77
  6. Step 6: Final answer
    x = 1,344.39

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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.