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Finding the Fourth Proportional to 1,231.65, 1,692.59 and 1,174.55

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Solution

The fourth proportional to 1,231.65, 1,692.59 and 1,174.55 is: 1,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.65 : 1,692.59 = 1,174.55 : x
  2. Step 2: Convert to fraction form
    1,231.65/1,692.59 = 1,174.55/x
  3. Step 3: Cross multiply
    1,231.65x = 1,692.59 × 1,174.55
  4. Step 4: Simplify right side
    1,231.65x = 1,988,017.25
  5. Step 5: Solve for x
    x = 1,988,017.25/1,231.65
  6. Step 6: Final answer
    x = 1,614.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.