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Finding the Fourth Proportional to 2,157.72, 3,238.64 and 1,062.84

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Solution

The fourth proportional to 2,157.72, 3,238.64 and 1,062.84 is: 1,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.72 : 3,238.64 = 1,062.84 : x
  2. Step 2: Convert to fraction form
    2,157.72/3,238.64 = 1,062.84/x
  3. Step 3: Cross multiply
    2,157.72x = 3,238.64 × 1,062.84
  4. Step 4: Simplify right side
    2,157.72x = 3,442,156.14
  5. Step 5: Solve for x
    x = 3,442,156.14/2,157.72
  6. Step 6: Final answer
    x = 1,595.27

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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.