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Finding the Fourth Proportional to 2,997.95, 4,137.14 and 1,671.64

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Solution

The fourth proportional to 2,997.95, 4,137.14 and 1,671.64 is: 2,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.95 : 4,137.14 = 1,671.64 : x
  2. Step 2: Convert to fraction form
    2,997.95/4,137.14 = 1,671.64/x
  3. Step 3: Cross multiply
    2,997.95x = 4,137.14 × 1,671.64
  4. Step 4: Simplify right side
    2,997.95x = 6,915,802.55
  5. Step 5: Solve for x
    x = 6,915,802.55/2,997.95
  6. Step 6: Final answer
    x = 2,306.85

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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.