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Finding the Fourth Proportional to 2,018.61, 2,782.80 and 1,571.09

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Solution

The fourth proportional to 2,018.61, 2,782.80 and 1,571.09 is: 2,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.61 : 2,782.80 = 1,571.09 : x
  2. Step 2: Convert to fraction form
    2,018.61/2,782.80 = 1,571.09/x
  3. Step 3: Cross multiply
    2,018.61x = 2,782.80 × 1,571.09
  4. Step 4: Simplify right side
    2,018.61x = 4,372,015.34
  5. Step 5: Solve for x
    x = 4,372,015.34/2,018.61
  6. Step 6: Final answer
    x = 2,165.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.