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Finding the Fourth Proportional to 2,327.89, 3,490.46 and 1,157.84

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Solution

The fourth proportional to 2,327.89, 3,490.46 and 1,157.84 is: 1,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.89 : 3,490.46 = 1,157.84 : x
  2. Step 2: Convert to fraction form
    2,327.89/3,490.46 = 1,157.84/x
  3. Step 3: Cross multiply
    2,327.89x = 3,490.46 × 1,157.84
  4. Step 4: Simplify right side
    2,327.89x = 4,041,388.42
  5. Step 5: Solve for x
    x = 4,041,388.42/2,327.89
  6. Step 6: Final answer
    x = 1,736.08

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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.