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Finding the Fourth Proportional to 2,671.96, 4,015.50 and 1,576.84

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Solution

The fourth proportional to 2,671.96, 4,015.50 and 1,576.84 is: 2,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.96 : 4,015.50 = 1,576.84 : x
  2. Step 2: Convert to fraction form
    2,671.96/4,015.50 = 1,576.84/x
  3. Step 3: Cross multiply
    2,671.96x = 4,015.50 × 1,576.84
  4. Step 4: Simplify right side
    2,671.96x = 6,331,801.02
  5. Step 5: Solve for x
    x = 6,331,801.02/2,671.96
  6. Step 6: Final answer
    x = 2,369.72

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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.