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Finding the Fourth Proportional to 2,157.21, 3,233.73 and 695.37

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Solution

The fourth proportional to 2,157.21, 3,233.73 and 695.37 is: 1,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.21 : 3,233.73 = 695.37 : x
  2. Step 2: Convert to fraction form
    2,157.21/3,233.73 = 695.37/x
  3. Step 3: Cross multiply
    2,157.21x = 3,233.73 × 695.37
  4. Step 4: Simplify right side
    2,157.21x = 2,248,638.83
  5. Step 5: Solve for x
    x = 2,248,638.83/2,157.21
  6. Step 6: Final answer
    x = 1,042.38

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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.