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Finding the Fourth Proportional to 1,527.25, 2,107.26 and 996.08

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Solution

The fourth proportional to 1,527.25, 2,107.26 and 996.08 is: 1,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.25 : 2,107.26 = 996.08 : x
  2. Step 2: Convert to fraction form
    1,527.25/2,107.26 = 996.08/x
  3. Step 3: Cross multiply
    1,527.25x = 2,107.26 × 996.08
  4. Step 4: Simplify right side
    1,527.25x = 2,098,999.54
  5. Step 5: Solve for x
    x = 2,098,999.54/1,527.25
  6. Step 6: Final answer
    x = 1,374.37

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Why These Related Problems?

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