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Finding the Fourth Proportional to 2,453.58, 3,678.08 and 893.21

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Solution

The fourth proportional to 2,453.58, 3,678.08 and 893.21 is: 1,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.58 : 3,678.08 = 893.21 : x
  2. Step 2: Convert to fraction form
    2,453.58/3,678.08 = 893.21/x
  3. Step 3: Cross multiply
    2,453.58x = 3,678.08 × 893.21
  4. Step 4: Simplify right side
    2,453.58x = 3,285,274.98
  5. Step 5: Solve for x
    x = 3,285,274.98/2,453.58
  6. Step 6: Final answer
    x = 1,338.97

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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.