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Finding the Fourth Proportional to 2,157.58, 3,236.55 and 597.58

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Solution

The fourth proportional to 2,157.58, 3,236.55 and 597.58 is: 896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.58 : 3,236.55 = 597.58 : x
  2. Step 2: Convert to fraction form
    2,157.58/3,236.55 = 597.58/x
  3. Step 3: Cross multiply
    2,157.58x = 3,236.55 × 597.58
  4. Step 4: Simplify right side
    2,157.58x = 1,934,105.07
  5. Step 5: Solve for x
    x = 1,934,105.07/2,157.58
  6. Step 6: Final answer
    x = 896.42

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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.