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Finding the Fourth Proportional to 2,998.40, 4,137.78 and 1,672.22

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Solution

The fourth proportional to 2,998.40, 4,137.78 and 1,672.22 is: 2,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.40 : 4,137.78 = 1,672.22 : x
  2. Step 2: Convert to fraction form
    2,998.40/4,137.78 = 1,672.22/x
  3. Step 3: Cross multiply
    2,998.40x = 4,137.78 × 1,672.22
  4. Step 4: Simplify right side
    2,998.40x = 6,919,278.47
  5. Step 5: Solve for x
    x = 6,919,278.47/2,998.40
  6. Step 6: Final answer
    x = 2,307.66

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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.