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Finding the Fourth Proportional to 2,563.80, 3,840.88 and 1,464.83

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Solution

The fourth proportional to 2,563.80, 3,840.88 and 1,464.83 is: 2,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.80 : 3,840.88 = 1,464.83 : x
  2. Step 2: Convert to fraction form
    2,563.80/3,840.88 = 1,464.83/x
  3. Step 3: Cross multiply
    2,563.80x = 3,840.88 × 1,464.83
  4. Step 4: Simplify right side
    2,563.80x = 5,626,236.25
  5. Step 5: Solve for x
    x = 5,626,236.25/2,563.80
  6. Step 6: Final answer
    x = 2,194.49

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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.