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Finding the Fourth Proportional to 1,687.48, 2,527.62 and 1,573.56

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Solution

The fourth proportional to 1,687.48, 2,527.62 and 1,573.56 is: 2,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.48 : 2,527.62 = 1,573.56 : x
  2. Step 2: Convert to fraction form
    1,687.48/2,527.62 = 1,573.56/x
  3. Step 3: Cross multiply
    1,687.48x = 2,527.62 × 1,573.56
  4. Step 4: Simplify right side
    1,687.48x = 3,977,361.73
  5. Step 5: Solve for x
    x = 3,977,361.73/1,687.48
  6. Step 6: Final answer
    x = 2,356.98

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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.