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Finding the Fourth Proportional to 3,213.81, 4,435.63 and 1,869.84

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Solution

The fourth proportional to 3,213.81, 4,435.63 and 1,869.84 is: 2,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.81 : 4,435.63 = 1,869.84 : x
  2. Step 2: Convert to fraction form
    3,213.81/4,435.63 = 1,869.84/x
  3. Step 3: Cross multiply
    3,213.81x = 4,435.63 × 1,869.84
  4. Step 4: Simplify right side
    3,213.81x = 8,293,913.72
  5. Step 5: Solve for x
    x = 8,293,913.72/3,213.81
  6. Step 6: Final answer
    x = 2,580.71

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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.