Home / 1,202.36-1,804.08-1,107.32

Finding the Fourth Proportional to 1,202.36, 1,804.08 and 1,107.32

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Solution

The fourth proportional to 1,202.36, 1,804.08 and 1,107.32 is: 1,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.36 : 1,804.08 = 1,107.32 : x
  2. Step 2: Convert to fraction form
    1,202.36/1,804.08 = 1,107.32/x
  3. Step 3: Cross multiply
    1,202.36x = 1,804.08 × 1,107.32
  4. Step 4: Simplify right side
    1,202.36x = 1,997,693.87
  5. Step 5: Solve for x
    x = 1,997,693.87/1,202.36
  6. Step 6: Final answer
    x = 1,661.48

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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.