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Finding the Fourth Proportional to 1,999.06, 2,758.78 and 1,159.60

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Solution

The fourth proportional to 1,999.06, 2,758.78 and 1,159.60 is: 1,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.06 : 2,758.78 = 1,159.60 : x
  2. Step 2: Convert to fraction form
    1,999.06/2,758.78 = 1,159.60/x
  3. Step 3: Cross multiply
    1,999.06x = 2,758.78 × 1,159.60
  4. Step 4: Simplify right side
    1,999.06x = 3,199,081.29
  5. Step 5: Solve for x
    x = 3,199,081.29/1,999.06
  6. Step 6: Final answer
    x = 1,600.29

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