Home / 1,828.71-2,743.81-1,006.90

Finding the Fourth Proportional to 1,828.71, 2,743.81 and 1,006.90

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Solution

The fourth proportional to 1,828.71, 2,743.81 and 1,006.90 is: 1,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.71 : 2,743.81 = 1,006.90 : x
  2. Step 2: Convert to fraction form
    1,828.71/2,743.81 = 1,006.90/x
  3. Step 3: Cross multiply
    1,828.71x = 2,743.81 × 1,006.90
  4. Step 4: Simplify right side
    1,828.71x = 2,762,732.91
  5. Step 5: Solve for x
    x = 2,762,732.91/1,828.71
  6. Step 6: Final answer
    x = 1,510.76

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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.