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Finding the Fourth Proportional to 2,203.71, 3,301.25 and 968.19

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Solution

The fourth proportional to 2,203.71, 3,301.25 and 968.19 is: 1,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.71 : 3,301.25 = 968.19 : x
  2. Step 2: Convert to fraction form
    2,203.71/3,301.25 = 968.19/x
  3. Step 3: Cross multiply
    2,203.71x = 3,301.25 × 968.19
  4. Step 4: Simplify right side
    2,203.71x = 3,196,232.40
  5. Step 5: Solve for x
    x = 3,196,232.40/2,203.71
  6. Step 6: Final answer
    x = 1,450.39

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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.