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Finding the Fourth Proportional to 2,571.45, 3,857.14 and 623.65

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Solution

The fourth proportional to 2,571.45, 3,857.14 and 623.65 is: 935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.45 : 3,857.14 = 623.65 : x
  2. Step 2: Convert to fraction form
    2,571.45/3,857.14 = 623.65/x
  3. Step 3: Cross multiply
    2,571.45x = 3,857.14 × 623.65
  4. Step 4: Simplify right side
    2,571.45x = 2,405,505.48
  5. Step 5: Solve for x
    x = 2,405,505.48/2,571.45
  6. Step 6: Final answer
    x = 935.47

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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.