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Finding the Fourth Proportional to 1,661.81, 2,295.61 and 1,574.33

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Solution

The fourth proportional to 1,661.81, 2,295.61 and 1,574.33 is: 2,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.81 : 2,295.61 = 1,574.33 : x
  2. Step 2: Convert to fraction form
    1,661.81/2,295.61 = 1,574.33/x
  3. Step 3: Cross multiply
    1,661.81x = 2,295.61 × 1,574.33
  4. Step 4: Simplify right side
    1,661.81x = 3,614,032.28
  5. Step 5: Solve for x
    x = 3,614,032.28/1,661.81
  6. Step 6: Final answer
    x = 2,174.76

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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.