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Finding the Fourth Proportional to 2,132, 3,188.73 and 1,252.41

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Solution

The fourth proportional to 2,132, 3,188.73 and 1,252.41 is: 1,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132 : 3,188.73 = 1,252.41 : x
  2. Step 2: Convert to fraction form
    2,132/3,188.73 = 1,252.41/x
  3. Step 3: Cross multiply
    2,132x = 3,188.73 × 1,252.41
  4. Step 4: Simplify right side
    2,132x = 3,993,597.34
  5. Step 5: Solve for x
    x = 3,993,597.34/2,132
  6. Step 6: Final answer
    x = 1,873.17

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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.