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Finding the Fourth Proportional to 2,203.09, 3,302.64 and 1,325.86

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Solution

The fourth proportional to 2,203.09, 3,302.64 and 1,325.86 is: 1,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.09 : 3,302.64 = 1,325.86 : x
  2. Step 2: Convert to fraction form
    2,203.09/3,302.64 = 1,325.86/x
  3. Step 3: Cross multiply
    2,203.09x = 3,302.64 × 1,325.86
  4. Step 4: Simplify right side
    2,203.09x = 4,378,838.27
  5. Step 5: Solve for x
    x = 4,378,838.27/2,203.09
  6. Step 6: Final answer
    x = 1,987.59

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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.