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Finding the Fourth Proportional to 2,533.68, 3,796.54 and 2,141.84

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Solution

The fourth proportional to 2,533.68, 3,796.54 and 2,141.84 is: 3,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.68 : 3,796.54 = 2,141.84 : x
  2. Step 2: Convert to fraction form
    2,533.68/3,796.54 = 2,141.84/x
  3. Step 3: Cross multiply
    2,533.68x = 3,796.54 × 2,141.84
  4. Step 4: Simplify right side
    2,533.68x = 8,131,585.37
  5. Step 5: Solve for x
    x = 8,131,585.37/2,533.68
  6. Step 6: Final answer
    x = 3,209.40

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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.