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Finding the Fourth Proportional to 1,232.61, 1,846.32 and 1,189.99

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Solution

The fourth proportional to 1,232.61, 1,846.32 and 1,189.99 is: 1,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.61 : 1,846.32 = 1,189.99 : x
  2. Step 2: Convert to fraction form
    1,232.61/1,846.32 = 1,189.99/x
  3. Step 3: Cross multiply
    1,232.61x = 1,846.32 × 1,189.99
  4. Step 4: Simplify right side
    1,232.61x = 2,197,102.34
  5. Step 5: Solve for x
    x = 2,197,102.34/1,232.61
  6. Step 6: Final answer
    x = 1,782.48

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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.