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Finding the Fourth Proportional to 2,813.60, 4,212.02 and 2,086.40

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Solution

The fourth proportional to 2,813.60, 4,212.02 and 2,086.40 is: 3,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.60 : 4,212.02 = 2,086.40 : x
  2. Step 2: Convert to fraction form
    2,813.60/4,212.02 = 2,086.40/x
  3. Step 3: Cross multiply
    2,813.60x = 4,212.02 × 2,086.40
  4. Step 4: Simplify right side
    2,813.60x = 8,787,958.53
  5. Step 5: Solve for x
    x = 8,787,958.53/2,813.60
  6. Step 6: Final answer
    x = 3,123.39

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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.