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Finding the Fourth Proportional to 2,169.45, 3,256.34 and 1,196.01

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Solution

The fourth proportional to 2,169.45, 3,256.34 and 1,196.01 is: 1,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.45 : 3,256.34 = 1,196.01 : x
  2. Step 2: Convert to fraction form
    2,169.45/3,256.34 = 1,196.01/x
  3. Step 3: Cross multiply
    2,169.45x = 3,256.34 × 1,196.01
  4. Step 4: Simplify right side
    2,169.45x = 3,894,609.22
  5. Step 5: Solve for x
    x = 3,894,609.22/2,169.45
  6. Step 6: Final answer
    x = 1,795.21

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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.