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Finding the Fourth Proportional to 3,203.03, 4,805.36 and 894.53

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Solution

The fourth proportional to 3,203.03, 4,805.36 and 894.53 is: 1,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.03 : 4,805.36 = 894.53 : x
  2. Step 2: Convert to fraction form
    3,203.03/4,805.36 = 894.53/x
  3. Step 3: Cross multiply
    3,203.03x = 4,805.36 × 894.53
  4. Step 4: Simplify right side
    3,203.03x = 4,298,538.68
  5. Step 5: Solve for x
    x = 4,298,538.68/3,203.03
  6. Step 6: Final answer
    x = 1,342.02

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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.