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Finding the Fourth Proportional to 1,618.36, 2,425.68 and 1,157.24

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Solution

The fourth proportional to 1,618.36, 2,425.68 and 1,157.24 is: 1,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.36 : 2,425.68 = 1,157.24 : x
  2. Step 2: Convert to fraction form
    1,618.36/2,425.68 = 1,157.24/x
  3. Step 3: Cross multiply
    1,618.36x = 2,425.68 × 1,157.24
  4. Step 4: Simplify right side
    1,618.36x = 2,807,093.92
  5. Step 5: Solve for x
    x = 2,807,093.92/1,618.36
  6. Step 6: Final answer
    x = 1,734.53

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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.