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Finding the Fourth Proportional to 2,773.88, 4,157.94 and 1,403

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Solution

The fourth proportional to 2,773.88, 4,157.94 and 1,403 is: 2,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.88 : 4,157.94 = 1,403 : x
  2. Step 2: Convert to fraction form
    2,773.88/4,157.94 = 1,403/x
  3. Step 3: Cross multiply
    2,773.88x = 4,157.94 × 1,403
  4. Step 4: Simplify right side
    2,773.88x = 5,833,589.82
  5. Step 5: Solve for x
    x = 5,833,589.82/2,773.88
  6. Step 6: Final answer
    x = 2,103.04

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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.