Home / 1,735.86-2,398.26-1,214.22

Finding the Fourth Proportional to 1,735.86, 2,398.26 and 1,214.22

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Solution

The fourth proportional to 1,735.86, 2,398.26 and 1,214.22 is: 1,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.86 : 2,398.26 = 1,214.22 : x
  2. Step 2: Convert to fraction form
    1,735.86/2,398.26 = 1,214.22/x
  3. Step 3: Cross multiply
    1,735.86x = 2,398.26 × 1,214.22
  4. Step 4: Simplify right side
    1,735.86x = 2,912,015.26
  5. Step 5: Solve for x
    x = 2,912,015.26/1,735.86
  6. Step 6: Final answer
    x = 1,677.56

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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.