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Finding the Fourth Proportional to 2,832.41, 4,246.18 and 1,076.42

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Solution

The fourth proportional to 2,832.41, 4,246.18 and 1,076.42 is: 1,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.41 : 4,246.18 = 1,076.42 : x
  2. Step 2: Convert to fraction form
    2,832.41/4,246.18 = 1,076.42/x
  3. Step 3: Cross multiply
    2,832.41x = 4,246.18 × 1,076.42
  4. Step 4: Simplify right side
    2,832.41x = 4,570,673.08
  5. Step 5: Solve for x
    x = 4,570,673.08/2,832.41
  6. Step 6: Final answer
    x = 1,613.70

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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.