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Finding the Fourth Proportional to 2,571.30, 3,858.14 and 816.58

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Solution

The fourth proportional to 2,571.30, 3,858.14 and 816.58 is: 1,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.30 : 3,858.14 = 816.58 : x
  2. Step 2: Convert to fraction form
    2,571.30/3,858.14 = 816.58/x
  3. Step 3: Cross multiply
    2,571.30x = 3,858.14 × 816.58
  4. Step 4: Simplify right side
    2,571.30x = 3,150,479.96
  5. Step 5: Solve for x
    x = 3,150,479.96/2,571.30
  6. Step 6: Final answer
    x = 1,225.25

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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.