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Finding the Fourth Proportional to 3,202.71, 4,419.77 and 1,876.67

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Solution

The fourth proportional to 3,202.71, 4,419.77 and 1,876.67 is: 2,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.71 : 4,419.77 = 1,876.67 : x
  2. Step 2: Convert to fraction form
    3,202.71/4,419.77 = 1,876.67/x
  3. Step 3: Cross multiply
    3,202.71x = 4,419.77 × 1,876.67
  4. Step 4: Simplify right side
    3,202.71x = 8,294,434.86
  5. Step 5: Solve for x
    x = 8,294,434.86/3,202.71
  6. Step 6: Final answer
    x = 2,589.82

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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.