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Finding the Fourth Proportional to 1,297.69, 1,937.07 and 1,133.66

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Solution

The fourth proportional to 1,297.69, 1,937.07 and 1,133.66 is: 1,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.69 : 1,937.07 = 1,133.66 : x
  2. Step 2: Convert to fraction form
    1,297.69/1,937.07 = 1,133.66/x
  3. Step 3: Cross multiply
    1,297.69x = 1,937.07 × 1,133.66
  4. Step 4: Simplify right side
    1,297.69x = 2,195,983.62
  5. Step 5: Solve for x
    x = 2,195,983.62/1,297.69
  6. Step 6: Final answer
    x = 1,692.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.