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Finding the Fourth Proportional to 2,903.21, 4,354.67 and 711.82

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Solution

The fourth proportional to 2,903.21, 4,354.67 and 711.82 is: 1,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.21 : 4,354.67 = 711.82 : x
  2. Step 2: Convert to fraction form
    2,903.21/4,354.67 = 711.82/x
  3. Step 3: Cross multiply
    2,903.21x = 4,354.67 × 711.82
  4. Step 4: Simplify right side
    2,903.21x = 3,099,741.20
  5. Step 5: Solve for x
    x = 3,099,741.20/2,903.21
  6. Step 6: Final answer
    x = 1,067.69

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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.