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Finding the Fourth Proportional to 2,648.09, 3,967.81 and 1,671.05

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Solution

The fourth proportional to 2,648.09, 3,967.81 and 1,671.05 is: 2,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.09 : 3,967.81 = 1,671.05 : x
  2. Step 2: Convert to fraction form
    2,648.09/3,967.81 = 1,671.05/x
  3. Step 3: Cross multiply
    2,648.09x = 3,967.81 × 1,671.05
  4. Step 4: Simplify right side
    2,648.09x = 6,630,408.90
  5. Step 5: Solve for x
    x = 6,630,408.90/2,648.09
  6. Step 6: Final answer
    x = 2,503.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.