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Finding the Fourth Proportional to 2,773.98, 4,157.31 and 1,540.74

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Solution

The fourth proportional to 2,773.98, 4,157.31 and 1,540.74 is: 2,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.98 : 4,157.31 = 1,540.74 : x
  2. Step 2: Convert to fraction form
    2,773.98/4,157.31 = 1,540.74/x
  3. Step 3: Cross multiply
    2,773.98x = 4,157.31 × 1,540.74
  4. Step 4: Simplify right side
    2,773.98x = 6,405,333.81
  5. Step 5: Solve for x
    x = 6,405,333.81/2,773.98
  6. Step 6: Final answer
    x = 2,309.08

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Why These Related Problems?

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