Home / 1,828.58-2,743.62-1,006.63

Finding the Fourth Proportional to 1,828.58, 2,743.62 and 1,006.63

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Solution

The fourth proportional to 1,828.58, 2,743.62 and 1,006.63 is: 1,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.58 : 2,743.62 = 1,006.63 : x
  2. Step 2: Convert to fraction form
    1,828.58/2,743.62 = 1,006.63/x
  3. Step 3: Cross multiply
    1,828.58x = 2,743.62 × 1,006.63
  4. Step 4: Simplify right side
    1,828.58x = 2,761,805.23
  5. Step 5: Solve for x
    x = 2,761,805.23/1,828.58
  6. Step 6: Final answer
    x = 1,510.36

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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.