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Finding the Fourth Proportional to 2,997.90, 4,137.48 and 1,672.20

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Solution

The fourth proportional to 2,997.90, 4,137.48 and 1,672.20 is: 2,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.90 : 4,137.48 = 1,672.20 : x
  2. Step 2: Convert to fraction form
    2,997.90/4,137.48 = 1,672.20/x
  3. Step 3: Cross multiply
    2,997.90x = 4,137.48 × 1,672.20
  4. Step 4: Simplify right side
    2,997.90x = 6,918,694.06
  5. Step 5: Solve for x
    x = 6,918,694.06/2,997.90
  6. Step 6: Final answer
    x = 2,307.85

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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.