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Finding the Fourth Proportional to 3,114.80, 4,661.40 and 2,855.60

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Solution

The fourth proportional to 3,114.80, 4,661.40 and 2,855.60 is: 4,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.80 : 4,661.40 = 2,855.60 : x
  2. Step 2: Convert to fraction form
    3,114.80/4,661.40 = 2,855.60/x
  3. Step 3: Cross multiply
    3,114.80x = 4,661.40 × 2,855.60
  4. Step 4: Simplify right side
    3,114.80x = 13,311,093.84
  5. Step 5: Solve for x
    x = 13,311,093.84/3,114.80
  6. Step 6: Final answer
    x = 4,273.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.