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Finding the Fourth Proportional to 2,173.67, 3,259.85 and 940.77

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Solution

The fourth proportional to 2,173.67, 3,259.85 and 940.77 is: 1,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.67 : 3,259.85 = 940.77 : x
  2. Step 2: Convert to fraction form
    2,173.67/3,259.85 = 940.77/x
  3. Step 3: Cross multiply
    2,173.67x = 3,259.85 × 940.77
  4. Step 4: Simplify right side
    2,173.67x = 3,066,764.38
  5. Step 5: Solve for x
    x = 3,066,764.38/2,173.67
  6. Step 6: Final answer
    x = 1,410.87

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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.