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Finding the Fourth Proportional to 2,840.40, 4,255.02 and 2,530.80

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Solution

The fourth proportional to 2,840.40, 4,255.02 and 2,530.80 is: 3,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.40 : 4,255.02 = 2,530.80 : x
  2. Step 2: Convert to fraction form
    2,840.40/4,255.02 = 2,530.80/x
  3. Step 3: Cross multiply
    2,840.40x = 4,255.02 × 2,530.80
  4. Step 4: Simplify right side
    2,840.40x = 10,768,604.62
  5. Step 5: Solve for x
    x = 10,768,604.62/2,840.40
  6. Step 6: Final answer
    x = 3,791.23

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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.