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Finding the Fourth Proportional to 1,804.52, 2,706.17 and 830.09

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Solution

The fourth proportional to 1,804.52, 2,706.17 and 830.09 is: 1,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.52 : 2,706.17 = 830.09 : x
  2. Step 2: Convert to fraction form
    1,804.52/2,706.17 = 830.09/x
  3. Step 3: Cross multiply
    1,804.52x = 2,706.17 × 830.09
  4. Step 4: Simplify right side
    1,804.52x = 2,246,346.97
  5. Step 5: Solve for x
    x = 2,246,346.97/1,804.52
  6. Step 6: Final answer
    x = 1,244.85

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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.