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Finding the Fourth Proportional to 1,819.49, 2,511.14 and 1,033.52

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Solution

The fourth proportional to 1,819.49, 2,511.14 and 1,033.52 is: 1,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.49 : 2,511.14 = 1,033.52 : x
  2. Step 2: Convert to fraction form
    1,819.49/2,511.14 = 1,033.52/x
  3. Step 3: Cross multiply
    1,819.49x = 2,511.14 × 1,033.52
  4. Step 4: Simplify right side
    1,819.49x = 2,595,295.69
  5. Step 5: Solve for x
    x = 2,595,295.69/1,819.49
  6. Step 6: Final answer
    x = 1,426.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.