Home / 1,828.12-2,743.80-904.36

Finding the Fourth Proportional to 1,828.12, 2,743.80 and 904.36

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Solution

The fourth proportional to 1,828.12, 2,743.80 and 904.36 is: 1,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.12 : 2,743.80 = 904.36 : x
  2. Step 2: Convert to fraction form
    1,828.12/2,743.80 = 904.36/x
  3. Step 3: Cross multiply
    1,828.12x = 2,743.80 × 904.36
  4. Step 4: Simplify right side
    1,828.12x = 2,481,382.97
  5. Step 5: Solve for x
    x = 2,481,382.97/1,828.12
  6. Step 6: Final answer
    x = 1,357.34

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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.