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Finding the Fourth Proportional to 2,383.52, 3,576 and 1,230.08

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Solution

The fourth proportional to 2,383.52, 3,576 and 1,230.08 is: 1,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.52 : 3,576 = 1,230.08 : x
  2. Step 2: Convert to fraction form
    2,383.52/3,576 = 1,230.08/x
  3. Step 3: Cross multiply
    2,383.52x = 3,576 × 1,230.08
  4. Step 4: Simplify right side
    2,383.52x = 4,398,766.08
  5. Step 5: Solve for x
    x = 4,398,766.08/2,383.52
  6. Step 6: Final answer
    x = 1,845.49

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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.