Home / 2,442.14-3,665.94-982.32

Finding the Fourth Proportional to 2,442.14, 3,665.94 and 982.32

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Solution

The fourth proportional to 2,442.14, 3,665.94 and 982.32 is: 1,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.14 : 3,665.94 = 982.32 : x
  2. Step 2: Convert to fraction form
    2,442.14/3,665.94 = 982.32/x
  3. Step 3: Cross multiply
    2,442.14x = 3,665.94 × 982.32
  4. Step 4: Simplify right side
    2,442.14x = 3,601,126.18
  5. Step 5: Solve for x
    x = 3,601,126.18/2,442.14
  6. Step 6: Final answer
    x = 1,474.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.