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Finding the Fourth Proportional to 1,665.99, 2,297.83 and 1,477.16

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Solution

The fourth proportional to 1,665.99, 2,297.83 and 1,477.16 is: 2,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.99 : 2,297.83 = 1,477.16 : x
  2. Step 2: Convert to fraction form
    1,665.99/2,297.83 = 1,477.16/x
  3. Step 3: Cross multiply
    1,665.99x = 2,297.83 × 1,477.16
  4. Step 4: Simplify right side
    1,665.99x = 3,394,243.69
  5. Step 5: Solve for x
    x = 3,394,243.69/1,665.99
  6. Step 6: Final answer
    x = 2,037.37

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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.