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Finding the Fourth Proportional to 2,157.92, 3,236.28 and 597.57

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Solution

The fourth proportional to 2,157.92, 3,236.28 and 597.57 is: 896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.92 : 3,236.28 = 597.57 : x
  2. Step 2: Convert to fraction form
    2,157.92/3,236.28 = 597.57/x
  3. Step 3: Cross multiply
    2,157.92x = 3,236.28 × 597.57
  4. Step 4: Simplify right side
    2,157.92x = 1,933,903.84
  5. Step 5: Solve for x
    x = 1,933,903.84/2,157.92
  6. Step 6: Final answer
    x = 896.19

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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.