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Finding the Fourth Proportional to 1,808.64, 2,711.21 and 884.39

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Solution

The fourth proportional to 1,808.64, 2,711.21 and 884.39 is: 1,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.64 : 2,711.21 = 884.39 : x
  2. Step 2: Convert to fraction form
    1,808.64/2,711.21 = 884.39/x
  3. Step 3: Cross multiply
    1,808.64x = 2,711.21 × 884.39
  4. Step 4: Simplify right side
    1,808.64x = 2,397,749.03
  5. Step 5: Solve for x
    x = 2,397,749.03/1,808.64
  6. Step 6: Final answer
    x = 1,325.72

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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.