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Finding the Fourth Proportional to 2,918.63, 4,027.82 and 1,659.80

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Solution

The fourth proportional to 2,918.63, 4,027.82 and 1,659.80 is: 2,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.63 : 4,027.82 = 1,659.80 : x
  2. Step 2: Convert to fraction form
    2,918.63/4,027.82 = 1,659.80/x
  3. Step 3: Cross multiply
    2,918.63x = 4,027.82 × 1,659.80
  4. Step 4: Simplify right side
    2,918.63x = 6,685,389.86
  5. Step 5: Solve for x
    x = 6,685,389.86/2,918.63
  6. Step 6: Final answer
    x = 2,290.59

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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.