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Finding the Fourth Proportional to 2,173.12, 2,998.90 and 1,178.43

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Solution

The fourth proportional to 2,173.12, 2,998.90 and 1,178.43 is: 1,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.12 : 2,998.90 = 1,178.43 : x
  2. Step 2: Convert to fraction form
    2,173.12/2,998.90 = 1,178.43/x
  3. Step 3: Cross multiply
    2,173.12x = 2,998.90 × 1,178.43
  4. Step 4: Simplify right side
    2,173.12x = 3,533,983.95
  5. Step 5: Solve for x
    x = 3,533,983.95/2,173.12
  6. Step 6: Final answer
    x = 1,626.23

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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.