Home / 2,175.12-3,261.60-769.32

Finding the Fourth Proportional to 2,175.12, 3,261.60 and 769.32

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Solution

The fourth proportional to 2,175.12, 3,261.60 and 769.32 is: 1,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.12 : 3,261.60 = 769.32 : x
  2. Step 2: Convert to fraction form
    2,175.12/3,261.60 = 769.32/x
  3. Step 3: Cross multiply
    2,175.12x = 3,261.60 × 769.32
  4. Step 4: Simplify right side
    2,175.12x = 2,509,214.11
  5. Step 5: Solve for x
    x = 2,509,214.11/2,175.12
  6. Step 6: Final answer
    x = 1,153.60

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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.