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Finding the Fourth Proportional to 2,985.80, 4,120.34 and 1,659.42

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Solution

The fourth proportional to 2,985.80, 4,120.34 and 1,659.42 is: 2,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.80 : 4,120.34 = 1,659.42 : x
  2. Step 2: Convert to fraction form
    2,985.80/4,120.34 = 1,659.42/x
  3. Step 3: Cross multiply
    2,985.80x = 4,120.34 × 1,659.42
  4. Step 4: Simplify right side
    2,985.80x = 6,837,366.31
  5. Step 5: Solve for x
    x = 6,837,366.31/2,985.80
  6. Step 6: Final answer
    x = 2,289.97

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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.