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Finding the Fourth Proportional to 2,696.63, 4,043.40 and 1,601.76

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Solution

The fourth proportional to 2,696.63, 4,043.40 and 1,601.76 is: 2,401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.63 : 4,043.40 = 1,601.76 : x
  2. Step 2: Convert to fraction form
    2,696.63/4,043.40 = 1,601.76/x
  3. Step 3: Cross multiply
    2,696.63x = 4,043.40 × 1,601.76
  4. Step 4: Simplify right side
    2,696.63x = 6,476,551.81
  5. Step 5: Solve for x
    x = 6,476,551.81/2,696.63
  6. Step 6: Final answer
    x = 2,401.73

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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.