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Finding the Fourth Proportional to 1,683.63, 2,324.16 and 1,162.26

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Solution

The fourth proportional to 1,683.63, 2,324.16 and 1,162.26 is: 1,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.63 : 2,324.16 = 1,162.26 : x
  2. Step 2: Convert to fraction form
    1,683.63/2,324.16 = 1,162.26/x
  3. Step 3: Cross multiply
    1,683.63x = 2,324.16 × 1,162.26
  4. Step 4: Simplify right side
    1,683.63x = 2,701,278.20
  5. Step 5: Solve for x
    x = 2,701,278.20/1,683.63
  6. Step 6: Final answer
    x = 1,604.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.