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Finding the Fourth Proportional to 1,185.12, 1,775.33 and 923.86

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Solution

The fourth proportional to 1,185.12, 1,775.33 and 923.86 is: 1,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.12 : 1,775.33 = 923.86 : x
  2. Step 2: Convert to fraction form
    1,185.12/1,775.33 = 923.86/x
  3. Step 3: Cross multiply
    1,185.12x = 1,775.33 × 923.86
  4. Step 4: Simplify right side
    1,185.12x = 1,640,156.37
  5. Step 5: Solve for x
    x = 1,640,156.37/1,185.12
  6. Step 6: Final answer
    x = 1,383.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.