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Finding the Fourth Proportional to 2,162, 3,242.32 and 1,435.42

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Solution

The fourth proportional to 2,162, 3,242.32 and 1,435.42 is: 2,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162 : 3,242.32 = 1,435.42 : x
  2. Step 2: Convert to fraction form
    2,162/3,242.32 = 1,435.42/x
  3. Step 3: Cross multiply
    2,162x = 3,242.32 × 1,435.42
  4. Step 4: Simplify right side
    2,162x = 4,654,090.97
  5. Step 5: Solve for x
    x = 4,654,090.97/2,162
  6. Step 6: Final answer
    x = 2,152.68

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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.