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Finding the Fourth Proportional to 3,203.51, 4,804.87 and 863.70

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Solution

The fourth proportional to 3,203.51, 4,804.87 and 863.70 is: 1,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.51 : 4,804.87 = 863.70 : x
  2. Step 2: Convert to fraction form
    3,203.51/4,804.87 = 863.70/x
  3. Step 3: Cross multiply
    3,203.51x = 4,804.87 × 863.70
  4. Step 4: Simplify right side
    3,203.51x = 4,149,966.22
  5. Step 5: Solve for x
    x = 4,149,966.22/3,203.51
  6. Step 6: Final answer
    x = 1,295.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.