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Finding the Fourth Proportional to 2,157.84, 3,233.72 and 1,232.01

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Solution

The fourth proportional to 2,157.84, 3,233.72 and 1,232.01 is: 1,846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.84 : 3,233.72 = 1,232.01 : x
  2. Step 2: Convert to fraction form
    2,157.84/3,233.72 = 1,232.01/x
  3. Step 3: Cross multiply
    2,157.84x = 3,233.72 × 1,232.01
  4. Step 4: Simplify right side
    2,157.84x = 3,983,978.46
  5. Step 5: Solve for x
    x = 3,983,978.46/2,157.84
  6. Step 6: Final answer
    x = 1,846.28

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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.