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Finding the Fourth Proportional to 4,159.42, 6,239.12 and 1,693.70

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Solution

The fourth proportional to 4,159.42, 6,239.12 and 1,693.70 is: 2,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.42 : 6,239.12 = 1,693.70 : x
  2. Step 2: Convert to fraction form
    4,159.42/6,239.12 = 1,693.70/x
  3. Step 3: Cross multiply
    4,159.42x = 6,239.12 × 1,693.70
  4. Step 4: Simplify right side
    4,159.42x = 10,567,197.54
  5. Step 5: Solve for x
    x = 10,567,197.54/4,159.42
  6. Step 6: Final answer
    x = 2,540.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.