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Finding the Fourth Proportional to 2,931.44, 4,407.71 and 2,679.80

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Solution

The fourth proportional to 2,931.44, 4,407.71 and 2,679.80 is: 4,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.44 : 4,407.71 = 2,679.80 : x
  2. Step 2: Convert to fraction form
    2,931.44/4,407.71 = 2,679.80/x
  3. Step 3: Cross multiply
    2,931.44x = 4,407.71 × 2,679.80
  4. Step 4: Simplify right side
    2,931.44x = 11,811,745.82
  5. Step 5: Solve for x
    x = 11,811,745.82/2,931.44
  6. Step 6: Final answer
    x = 4,029.34

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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.