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Finding the Fourth Proportional to 3,203.80, 4,804.74 and 1,663.96

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Solution

The fourth proportional to 3,203.80, 4,804.74 and 1,663.96 is: 2,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.80 : 4,804.74 = 1,663.96 : x
  2. Step 2: Convert to fraction form
    3,203.80/4,804.74 = 1,663.96/x
  3. Step 3: Cross multiply
    3,203.80x = 4,804.74 × 1,663.96
  4. Step 4: Simplify right side
    3,203.80x = 7,994,895.17
  5. Step 5: Solve for x
    x = 7,994,895.17/3,203.80
  6. Step 6: Final answer
    x = 2,495.44

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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.