Home / 1,829.10-2,738.99-1,006.47

Finding the Fourth Proportional to 1,829.10, 2,738.99 and 1,006.47

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Solution

The fourth proportional to 1,829.10, 2,738.99 and 1,006.47 is: 1,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.10 : 2,738.99 = 1,006.47 : x
  2. Step 2: Convert to fraction form
    1,829.10/2,738.99 = 1,006.47/x
  3. Step 3: Cross multiply
    1,829.10x = 2,738.99 × 1,006.47
  4. Step 4: Simplify right side
    1,829.10x = 2,756,706.23
  5. Step 5: Solve for x
    x = 2,756,706.23/1,829.10
  6. Step 6: Final answer
    x = 1,507.14

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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.