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Finding the Fourth Proportional to 1,921.50, 2,640.17 and 1,527.84

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Solution

The fourth proportional to 1,921.50, 2,640.17 and 1,527.84 is: 2,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.50 : 2,640.17 = 1,527.84 : x
  2. Step 2: Convert to fraction form
    1,921.50/2,640.17 = 1,527.84/x
  3. Step 3: Cross multiply
    1,921.50x = 2,640.17 × 1,527.84
  4. Step 4: Simplify right side
    1,921.50x = 4,033,749.69
  5. Step 5: Solve for x
    x = 4,033,749.69/1,921.50
  6. Step 6: Final answer
    x = 2,099.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.