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Finding the Fourth Proportional to 1,297.40, 1,954.77 and 1,174.16

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Solution

The fourth proportional to 1,297.40, 1,954.77 and 1,174.16 is: 1,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.40 : 1,954.77 = 1,174.16 : x
  2. Step 2: Convert to fraction form
    1,297.40/1,954.77 = 1,174.16/x
  3. Step 3: Cross multiply
    1,297.40x = 1,954.77 × 1,174.16
  4. Step 4: Simplify right side
    1,297.40x = 2,295,212.74
  5. Step 5: Solve for x
    x = 2,295,212.74/1,297.40
  6. Step 6: Final answer
    x = 1,769.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.