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Finding the Fourth Proportional to 1,801.66, 2,702.31 and 1,107.96

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Solution

The fourth proportional to 1,801.66, 2,702.31 and 1,107.96 is: 1,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.66 : 2,702.31 = 1,107.96 : x
  2. Step 2: Convert to fraction form
    1,801.66/2,702.31 = 1,107.96/x
  3. Step 3: Cross multiply
    1,801.66x = 2,702.31 × 1,107.96
  4. Step 4: Simplify right side
    1,801.66x = 2,994,051.39
  5. Step 5: Solve for x
    x = 2,994,051.39/1,801.66
  6. Step 6: Final answer
    x = 1,661.83

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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.