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Finding the Fourth Proportional to 2,571.53, 3,859.34 and 929.23

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Solution

The fourth proportional to 2,571.53, 3,859.34 and 929.23 is: 1,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.53 : 3,859.34 = 929.23 : x
  2. Step 2: Convert to fraction form
    2,571.53/3,859.34 = 929.23/x
  3. Step 3: Cross multiply
    2,571.53x = 3,859.34 × 929.23
  4. Step 4: Simplify right side
    2,571.53x = 3,586,200.21
  5. Step 5: Solve for x
    x = 3,586,200.21/2,571.53
  6. Step 6: Final answer
    x = 1,394.58

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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.