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Finding the Fourth Proportional to 1,571.14, 2,357.21 and 475.61

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Solution

The fourth proportional to 1,571.14, 2,357.21 and 475.61 is: 713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.14 : 2,357.21 = 475.61 : x
  2. Step 2: Convert to fraction form
    1,571.14/2,357.21 = 475.61/x
  3. Step 3: Cross multiply
    1,571.14x = 2,357.21 × 475.61
  4. Step 4: Simplify right side
    1,571.14x = 1,121,119.73
  5. Step 5: Solve for x
    x = 1,121,119.73/1,571.14
  6. Step 6: Final answer
    x = 713.57

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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.