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Finding the Fourth Proportional to 1,819.53, 2,511.81 and 1,231.02

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Solution

The fourth proportional to 1,819.53, 2,511.81 and 1,231.02 is: 1,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.53 : 2,511.81 = 1,231.02 : x
  2. Step 2: Convert to fraction form
    1,819.53/2,511.81 = 1,231.02/x
  3. Step 3: Cross multiply
    1,819.53x = 2,511.81 × 1,231.02
  4. Step 4: Simplify right side
    1,819.53x = 3,092,088.35
  5. Step 5: Solve for x
    x = 3,092,088.35/1,819.53
  6. Step 6: Final answer
    x = 1,699.39

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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.