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Finding the Fourth Proportional to 1,574.91, 2,174.73 and 1,181.25

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Solution

The fourth proportional to 1,574.91, 2,174.73 and 1,181.25 is: 1,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.91 : 2,174.73 = 1,181.25 : x
  2. Step 2: Convert to fraction form
    1,574.91/2,174.73 = 1,181.25/x
  3. Step 3: Cross multiply
    1,574.91x = 2,174.73 × 1,181.25
  4. Step 4: Simplify right side
    1,574.91x = 2,568,899.81
  5. Step 5: Solve for x
    x = 2,568,899.81/1,574.91
  6. Step 6: Final answer
    x = 1,631.14

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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.