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Finding the Fourth Proportional to 2,639.94, 3,957.16 and 1,408.83

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Solution

The fourth proportional to 2,639.94, 3,957.16 and 1,408.83 is: 2,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.94 : 3,957.16 = 1,408.83 : x
  2. Step 2: Convert to fraction form
    2,639.94/3,957.16 = 1,408.83/x
  3. Step 3: Cross multiply
    2,639.94x = 3,957.16 × 1,408.83
  4. Step 4: Simplify right side
    2,639.94x = 5,574,965.72
  5. Step 5: Solve for x
    x = 5,574,965.72/2,639.94
  6. Step 6: Final answer
    x = 2,111.78

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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.