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Finding the Fourth Proportional to 3,201.68, 4,802.56 and 893.04

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Solution

The fourth proportional to 3,201.68, 4,802.56 and 893.04 is: 1,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.68 : 4,802.56 = 893.04 : x
  2. Step 2: Convert to fraction form
    3,201.68/4,802.56 = 893.04/x
  3. Step 3: Cross multiply
    3,201.68x = 4,802.56 × 893.04
  4. Step 4: Simplify right side
    3,201.68x = 4,288,878.18
  5. Step 5: Solve for x
    x = 4,288,878.18/3,201.68
  6. Step 6: Final answer
    x = 1,339.57

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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.