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Finding the Fourth Proportional to 2,650.96, 3,977.40 and 1,282

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Solution

The fourth proportional to 2,650.96, 3,977.40 and 1,282 is: 1,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.96 : 3,977.40 = 1,282 : x
  2. Step 2: Convert to fraction form
    2,650.96/3,977.40 = 1,282/x
  3. Step 3: Cross multiply
    2,650.96x = 3,977.40 × 1,282
  4. Step 4: Simplify right side
    2,650.96x = 5,099,026.80
  5. Step 5: Solve for x
    x = 5,099,026.80/2,650.96
  6. Step 6: Final answer
    x = 1,923.46

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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.