Home / 1,497.43-2,241.19-829.32

Finding the Fourth Proportional to 1,497.43, 2,241.19 and 829.32

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Solution

The fourth proportional to 1,497.43, 2,241.19 and 829.32 is: 1,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.43 : 2,241.19 = 829.32 : x
  2. Step 2: Convert to fraction form
    1,497.43/2,241.19 = 829.32/x
  3. Step 3: Cross multiply
    1,497.43x = 2,241.19 × 829.32
  4. Step 4: Simplify right side
    1,497.43x = 1,858,663.69
  5. Step 5: Solve for x
    x = 1,858,663.69/1,497.43
  6. Step 6: Final answer
    x = 1,241.24

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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.