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Finding the Fourth Proportional to 2,168.83, 2,993 and 1,174.11

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Solution

The fourth proportional to 2,168.83, 2,993 and 1,174.11 is: 1,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.83 : 2,993 = 1,174.11 : x
  2. Step 2: Convert to fraction form
    2,168.83/2,993 = 1,174.11/x
  3. Step 3: Cross multiply
    2,168.83x = 2,993 × 1,174.11
  4. Step 4: Simplify right side
    2,168.83x = 3,514,111.23
  5. Step 5: Solve for x
    x = 3,514,111.23/2,168.83
  6. Step 6: Final answer
    x = 1,620.28

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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.