Home / 2,205.09-3,042.36-1,419.66

Finding the Fourth Proportional to 2,205.09, 3,042.36 and 1,419.66

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Solution

The fourth proportional to 2,205.09, 3,042.36 and 1,419.66 is: 1,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.09 : 3,042.36 = 1,419.66 : x
  2. Step 2: Convert to fraction form
    2,205.09/3,042.36 = 1,419.66/x
  3. Step 3: Cross multiply
    2,205.09x = 3,042.36 × 1,419.66
  4. Step 4: Simplify right side
    2,205.09x = 4,319,116.80
  5. Step 5: Solve for x
    x = 4,319,116.80/2,205.09
  6. Step 6: Final answer
    x = 1,958.70

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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.