Home / 2,032-2,804.08-1,192.68

Finding the Fourth Proportional to 2,032, 2,804.08 and 1,192.68

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Solution

The fourth proportional to 2,032, 2,804.08 and 1,192.68 is: 1,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032 : 2,804.08 = 1,192.68 : x
  2. Step 2: Convert to fraction form
    2,032/2,804.08 = 1,192.68/x
  3. Step 3: Cross multiply
    2,032x = 2,804.08 × 1,192.68
  4. Step 4: Simplify right side
    2,032x = 3,344,370.13
  5. Step 5: Solve for x
    x = 3,344,370.13/2,032
  6. Step 6: Final answer
    x = 1,645.85

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Why These Related Problems?

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