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Finding the Fourth Proportional to 2,985.96, 4,120.67 and 1,659.80

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Solution

The fourth proportional to 2,985.96, 4,120.67 and 1,659.80 is: 2,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.96 : 4,120.67 = 1,659.80 : x
  2. Step 2: Convert to fraction form
    2,985.96/4,120.67 = 1,659.80/x
  3. Step 3: Cross multiply
    2,985.96x = 4,120.67 × 1,659.80
  4. Step 4: Simplify right side
    2,985.96x = 6,839,459.16
  5. Step 5: Solve for x
    x = 6,839,459.16/2,985.96
  6. Step 6: Final answer
    x = 2,290.54

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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.