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Finding the Fourth Proportional to 2,827.52, 4,242.36 and 1,183.64

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Solution

The fourth proportional to 2,827.52, 4,242.36 and 1,183.64 is: 1,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.52 : 4,242.36 = 1,183.64 : x
  2. Step 2: Convert to fraction form
    2,827.52/4,242.36 = 1,183.64/x
  3. Step 3: Cross multiply
    2,827.52x = 4,242.36 × 1,183.64
  4. Step 4: Simplify right side
    2,827.52x = 5,021,426.99
  5. Step 5: Solve for x
    x = 5,021,426.99/2,827.52
  6. Step 6: Final answer
    x = 1,775.91

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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.