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Finding the Fourth Proportional to 2,903.26, 4,006.38 and 1,576.92

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Solution

The fourth proportional to 2,903.26, 4,006.38 and 1,576.92 is: 2,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.26 : 4,006.38 = 1,576.92 : x
  2. Step 2: Convert to fraction form
    2,903.26/4,006.38 = 1,576.92/x
  3. Step 3: Cross multiply
    2,903.26x = 4,006.38 × 1,576.92
  4. Step 4: Simplify right side
    2,903.26x = 6,317,740.75
  5. Step 5: Solve for x
    x = 6,317,740.75/2,903.26
  6. Step 6: Final answer
    x = 2,176.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.