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Finding the Fourth Proportional to 2,528.11, 3,792.19 and 884.66

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Solution

The fourth proportional to 2,528.11, 3,792.19 and 884.66 is: 1,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.11 : 3,792.19 = 884.66 : x
  2. Step 2: Convert to fraction form
    2,528.11/3,792.19 = 884.66/x
  3. Step 3: Cross multiply
    2,528.11x = 3,792.19 × 884.66
  4. Step 4: Simplify right side
    2,528.11x = 3,354,798.81
  5. Step 5: Solve for x
    x = 3,354,798.81/2,528.11
  6. Step 6: Final answer
    x = 1,327.00

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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.