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Finding the Fourth Proportional to 1,174.72, 1,749.79 and 1,121.41

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Solution

The fourth proportional to 1,174.72, 1,749.79 and 1,121.41 is: 1,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.72 : 1,749.79 = 1,121.41 : x
  2. Step 2: Convert to fraction form
    1,174.72/1,749.79 = 1,121.41/x
  3. Step 3: Cross multiply
    1,174.72x = 1,749.79 × 1,121.41
  4. Step 4: Simplify right side
    1,174.72x = 1,962,226.63
  5. Step 5: Solve for x
    x = 1,962,226.63/1,174.72
  6. Step 6: Final answer
    x = 1,670.39

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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.