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Finding the Fourth Proportional to 2,528.12, 3,792.51 and 884.27

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Solution

The fourth proportional to 2,528.12, 3,792.51 and 884.27 is: 1,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.12 : 3,792.51 = 884.27 : x
  2. Step 2: Convert to fraction form
    2,528.12/3,792.51 = 884.27/x
  3. Step 3: Cross multiply
    2,528.12x = 3,792.51 × 884.27
  4. Step 4: Simplify right side
    2,528.12x = 3,353,602.82
  5. Step 5: Solve for x
    x = 3,353,602.82/2,528.12
  6. Step 6: Final answer
    x = 1,326.52

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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.