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Finding the Fourth Proportional to 3,201.68, 4,802.16 and 893.36

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Solution

The fourth proportional to 3,201.68, 4,802.16 and 893.36 is: 1,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.68 : 4,802.16 = 893.36 : x
  2. Step 2: Convert to fraction form
    3,201.68/4,802.16 = 893.36/x
  3. Step 3: Cross multiply
    3,201.68x = 4,802.16 × 893.36
  4. Step 4: Simplify right side
    3,201.68x = 4,290,057.66
  5. Step 5: Solve for x
    x = 4,290,057.66/3,201.68
  6. Step 6: Final answer
    x = 1,339.94

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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.