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Finding the Fourth Proportional to 1,369.72, 1,890.16 and 839.49

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Solution

The fourth proportional to 1,369.72, 1,890.16 and 839.49 is: 1,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.72 : 1,890.16 = 839.49 : x
  2. Step 2: Convert to fraction form
    1,369.72/1,890.16 = 839.49/x
  3. Step 3: Cross multiply
    1,369.72x = 1,890.16 × 839.49
  4. Step 4: Simplify right side
    1,369.72x = 1,586,763.59
  5. Step 5: Solve for x
    x = 1,586,763.59/1,369.72
  6. Step 6: Final answer
    x = 1,158.46

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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.