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Finding the Fourth Proportional to 2,165, 3,244.46 and 1,435.08

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Solution

The fourth proportional to 2,165, 3,244.46 and 1,435.08 is: 2,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165 : 3,244.46 = 1,435.08 : x
  2. Step 2: Convert to fraction form
    2,165/3,244.46 = 1,435.08/x
  3. Step 3: Cross multiply
    2,165x = 3,244.46 × 1,435.08
  4. Step 4: Simplify right side
    2,165x = 4,656,059.66
  5. Step 5: Solve for x
    x = 4,656,059.66/2,165
  6. Step 6: Final answer
    x = 2,150.60

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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.