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Finding the Fourth Proportional to 2,157.47, 3,231.59 and 1,232.54

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Solution

The fourth proportional to 2,157.47, 3,231.59 and 1,232.54 is: 1,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.47 : 3,231.59 = 1,232.54 : x
  2. Step 2: Convert to fraction form
    2,157.47/3,231.59 = 1,232.54/x
  3. Step 3: Cross multiply
    2,157.47x = 3,231.59 × 1,232.54
  4. Step 4: Simplify right side
    2,157.47x = 3,983,041.62
  5. Step 5: Solve for x
    x = 3,983,041.62/2,157.47
  6. Step 6: Final answer
    x = 1,846.17

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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.