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Finding the Fourth Proportional to 2,203.20, 3,303.47 and 867.39

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Solution

The fourth proportional to 2,203.20, 3,303.47 and 867.39 is: 1,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.20 : 3,303.47 = 867.39 : x
  2. Step 2: Convert to fraction form
    2,203.20/3,303.47 = 867.39/x
  3. Step 3: Cross multiply
    2,203.20x = 3,303.47 × 867.39
  4. Step 4: Simplify right side
    2,203.20x = 2,865,409.62
  5. Step 5: Solve for x
    x = 2,865,409.62/2,203.20
  6. Step 6: Final answer
    x = 1,300.57

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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.