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Finding the Fourth Proportional to 2,571.74, 3,857.16 and 1,110.50

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Solution

The fourth proportional to 2,571.74, 3,857.16 and 1,110.50 is: 1,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.74 : 3,857.16 = 1,110.50 : x
  2. Step 2: Convert to fraction form
    2,571.74/3,857.16 = 1,110.50/x
  3. Step 3: Cross multiply
    2,571.74x = 3,857.16 × 1,110.50
  4. Step 4: Simplify right side
    2,571.74x = 4,283,376.18
  5. Step 5: Solve for x
    x = 4,283,376.18/2,571.74
  6. Step 6: Final answer
    x = 1,665.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.