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Finding the Fourth Proportional to 1,435.75, 1,982.49 and 1,170.22

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Solution

The fourth proportional to 1,435.75, 1,982.49 and 1,170.22 is: 1,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.75 : 1,982.49 = 1,170.22 : x
  2. Step 2: Convert to fraction form
    1,435.75/1,982.49 = 1,170.22/x
  3. Step 3: Cross multiply
    1,435.75x = 1,982.49 × 1,170.22
  4. Step 4: Simplify right side
    1,435.75x = 2,319,949.45
  5. Step 5: Solve for x
    x = 2,319,949.45/1,435.75
  6. Step 6: Final answer
    x = 1,615.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.