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Finding the Fourth Proportional to 1,528.27, 2,108.63 and 996.99

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Solution

The fourth proportional to 1,528.27, 2,108.63 and 996.99 is: 1,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.27 : 2,108.63 = 996.99 : x
  2. Step 2: Convert to fraction form
    1,528.27/2,108.63 = 996.99/x
  3. Step 3: Cross multiply
    1,528.27x = 2,108.63 × 996.99
  4. Step 4: Simplify right side
    1,528.27x = 2,102,289.47
  5. Step 5: Solve for x
    x = 2,102,289.47/1,528.27
  6. Step 6: Final answer
    x = 1,375.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.