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Finding the Fourth Proportional to 1,999.58, 2,759.40 and 1,160.44

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Solution

The fourth proportional to 1,999.58, 2,759.40 and 1,160.44 is: 1,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.58 : 2,759.40 = 1,160.44 : x
  2. Step 2: Convert to fraction form
    1,999.58/2,759.40 = 1,160.44/x
  3. Step 3: Cross multiply
    1,999.58x = 2,759.40 × 1,160.44
  4. Step 4: Simplify right side
    1,999.58x = 3,202,111.24
  5. Step 5: Solve for x
    x = 3,202,111.24/1,999.58
  6. Step 6: Final answer
    x = 1,601.40

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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.