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Finding the Fourth Proportional to 2,824.72, 4,237.08 and 1,182.42

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Solution

The fourth proportional to 2,824.72, 4,237.08 and 1,182.42 is: 1,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.72 : 4,237.08 = 1,182.42 : x
  2. Step 2: Convert to fraction form
    2,824.72/4,237.08 = 1,182.42/x
  3. Step 3: Cross multiply
    2,824.72x = 4,237.08 × 1,182.42
  4. Step 4: Simplify right side
    2,824.72x = 5,010,025.59
  5. Step 5: Solve for x
    x = 5,010,025.59/2,824.72
  6. Step 6: Final answer
    x = 1,773.63

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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.