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Finding the Fourth Proportional to 3,178.40, 4,381.80 and 1,998.80

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Solution

The fourth proportional to 3,178.40, 4,381.80 and 1,998.80 is: 2,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.40 : 4,381.80 = 1,998.80 : x
  2. Step 2: Convert to fraction form
    3,178.40/4,381.80 = 1,998.80/x
  3. Step 3: Cross multiply
    3,178.40x = 4,381.80 × 1,998.80
  4. Step 4: Simplify right side
    3,178.40x = 8,758,341.84
  5. Step 5: Solve for x
    x = 8,758,341.84/3,178.40
  6. Step 6: Final answer
    x = 2,755.58

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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.