Home / 1,828.74-2,743.50-1,006.58

Finding the Fourth Proportional to 1,828.74, 2,743.50 and 1,006.58

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Solution

The fourth proportional to 1,828.74, 2,743.50 and 1,006.58 is: 1,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.74 : 2,743.50 = 1,006.58 : x
  2. Step 2: Convert to fraction form
    1,828.74/2,743.50 = 1,006.58/x
  3. Step 3: Cross multiply
    1,828.74x = 2,743.50 × 1,006.58
  4. Step 4: Simplify right side
    1,828.74x = 2,761,552.23
  5. Step 5: Solve for x
    x = 2,761,552.23/1,828.74
  6. Step 6: Final answer
    x = 1,510.08

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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.