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Finding the Fourth Proportional to 2,109.26, 3,165.27 and 955.04

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Solution

The fourth proportional to 2,109.26, 3,165.27 and 955.04 is: 1,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.26 : 3,165.27 = 955.04 : x
  2. Step 2: Convert to fraction form
    2,109.26/3,165.27 = 955.04/x
  3. Step 3: Cross multiply
    2,109.26x = 3,165.27 × 955.04
  4. Step 4: Simplify right side
    2,109.26x = 3,022,959.46
  5. Step 5: Solve for x
    x = 3,022,959.46/2,109.26
  6. Step 6: Final answer
    x = 1,433.18

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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.