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Finding the Fourth Proportional to 2,813.96, 4,218.90 and 1,840.60

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Solution

The fourth proportional to 2,813.96, 4,218.90 and 1,840.60 is: 2,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.96 : 4,218.90 = 1,840.60 : x
  2. Step 2: Convert to fraction form
    2,813.96/4,218.90 = 1,840.60/x
  3. Step 3: Cross multiply
    2,813.96x = 4,218.90 × 1,840.60
  4. Step 4: Simplify right side
    2,813.96x = 7,765,307.34
  5. Step 5: Solve for x
    x = 7,765,307.34/2,813.96
  6. Step 6: Final answer
    x = 2,759.57

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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.