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Finding the Fourth Proportional to 3,052.53, 4,580.19 and 1,884.33

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Solution

The fourth proportional to 3,052.53, 4,580.19 and 1,884.33 is: 2,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.53 : 4,580.19 = 1,884.33 : x
  2. Step 2: Convert to fraction form
    3,052.53/4,580.19 = 1,884.33/x
  3. Step 3: Cross multiply
    3,052.53x = 4,580.19 × 1,884.33
  4. Step 4: Simplify right side
    3,052.53x = 8,630,589.42
  5. Step 5: Solve for x
    x = 8,630,589.42/3,052.53
  6. Step 6: Final answer
    x = 2,827.36

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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.