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Finding the Fourth Proportional to 2,571.14, 3,856.73 and 926.53

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Solution

The fourth proportional to 2,571.14, 3,856.73 and 926.53 is: 1,389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.14 : 3,856.73 = 926.53 : x
  2. Step 2: Convert to fraction form
    2,571.14/3,856.73 = 926.53/x
  3. Step 3: Cross multiply
    2,571.14x = 3,856.73 × 926.53
  4. Step 4: Simplify right side
    2,571.14x = 3,573,376.05
  5. Step 5: Solve for x
    x = 3,573,376.05/2,571.14
  6. Step 6: Final answer
    x = 1,389.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.