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Finding the Fourth Proportional to 3,114.67, 4,298.11 and 1,717.33

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Solution

The fourth proportional to 3,114.67, 4,298.11 and 1,717.33 is: 2,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.67 : 4,298.11 = 1,717.33 : x
  2. Step 2: Convert to fraction form
    3,114.67/4,298.11 = 1,717.33/x
  3. Step 3: Cross multiply
    3,114.67x = 4,298.11 × 1,717.33
  4. Step 4: Simplify right side
    3,114.67x = 7,381,273.25
  5. Step 5: Solve for x
    x = 7,381,273.25/3,114.67
  6. Step 6: Final answer
    x = 2,369.84

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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.