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Finding the Fourth Proportional to 1,944.65, 2,681.79 and 1,571.43

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Solution

The fourth proportional to 1,944.65, 2,681.79 and 1,571.43 is: 2,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.65 : 2,681.79 = 1,571.43 : x
  2. Step 2: Convert to fraction form
    1,944.65/2,681.79 = 1,571.43/x
  3. Step 3: Cross multiply
    1,944.65x = 2,681.79 × 1,571.43
  4. Step 4: Simplify right side
    1,944.65x = 4,214,245.26
  5. Step 5: Solve for x
    x = 4,214,245.26/1,944.65
  6. Step 6: Final answer
    x = 2,167.10

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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.