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Finding the Fourth Proportional to 2,571.76, 3,855.36 and 1,111.12

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Solution

The fourth proportional to 2,571.76, 3,855.36 and 1,111.12 is: 1,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.76 : 3,855.36 = 1,111.12 : x
  2. Step 2: Convert to fraction form
    2,571.76/3,855.36 = 1,111.12/x
  3. Step 3: Cross multiply
    2,571.76x = 3,855.36 × 1,111.12
  4. Step 4: Simplify right side
    2,571.76x = 4,283,767.60
  5. Step 5: Solve for x
    x = 4,283,767.60/2,571.76
  6. Step 6: Final answer
    x = 1,665.69

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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.