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Finding the Fourth Proportional to 2,571.47, 3,857.52 and 815.99

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Solution

The fourth proportional to 2,571.47, 3,857.52 and 815.99 is: 1,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.47 : 3,857.52 = 815.99 : x
  2. Step 2: Convert to fraction form
    2,571.47/3,857.52 = 815.99/x
  3. Step 3: Cross multiply
    2,571.47x = 3,857.52 × 815.99
  4. Step 4: Simplify right side
    2,571.47x = 3,147,678.46
  5. Step 5: Solve for x
    x = 3,147,678.46/2,571.47
  6. Step 6: Final answer
    x = 1,224.08

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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.