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Finding the Fourth Proportional to 2,900.32, 4,000.38 and 2,665

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Solution

The fourth proportional to 2,900.32, 4,000.38 and 2,665 is: 3,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.32 : 4,000.38 = 2,665 : x
  2. Step 2: Convert to fraction form
    2,900.32/4,000.38 = 2,665/x
  3. Step 3: Cross multiply
    2,900.32x = 4,000.38 × 2,665
  4. Step 4: Simplify right side
    2,900.32x = 10,661,012.70
  5. Step 5: Solve for x
    x = 10,661,012.70/2,900.32
  6. Step 6: Final answer
    x = 3,675.81

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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.