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Finding the Fourth Proportional to 3,123.05, 4,685.39 and 1,661

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Solution

The fourth proportional to 3,123.05, 4,685.39 and 1,661 is: 2,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.05 : 4,685.39 = 1,661 : x
  2. Step 2: Convert to fraction form
    3,123.05/4,685.39 = 1,661/x
  3. Step 3: Cross multiply
    3,123.05x = 4,685.39 × 1,661
  4. Step 4: Simplify right side
    3,123.05x = 7,782,424.49
  5. Step 5: Solve for x
    x = 7,782,424.49/3,123.05
  6. Step 6: Final answer
    x = 2,491.93

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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.