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Finding the Fourth Proportional to 1,687.76, 2,327.52 and 1,571.36

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Solution

The fourth proportional to 1,687.76, 2,327.52 and 1,571.36 is: 2,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.76 : 2,327.52 = 1,571.36 : x
  2. Step 2: Convert to fraction form
    1,687.76/2,327.52 = 1,571.36/x
  3. Step 3: Cross multiply
    1,687.76x = 2,327.52 × 1,571.36
  4. Step 4: Simplify right side
    1,687.76x = 3,657,371.83
  5. Step 5: Solve for x
    x = 3,657,371.83/1,687.76
  6. Step 6: Final answer
    x = 2,167.00

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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.