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Finding the Fourth Proportional to 2,663.32, 3,989.94 and 1,687.36

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Solution

The fourth proportional to 2,663.32, 3,989.94 and 1,687.36 is: 2,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.32 : 3,989.94 = 1,687.36 : x
  2. Step 2: Convert to fraction form
    2,663.32/3,989.94 = 1,687.36/x
  3. Step 3: Cross multiply
    2,663.32x = 3,989.94 × 1,687.36
  4. Step 4: Simplify right side
    2,663.32x = 6,732,465.16
  5. Step 5: Solve for x
    x = 6,732,465.16/2,663.32
  6. Step 6: Final answer
    x = 2,527.85

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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.