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Finding the Fourth Proportional to 3,202.65, 4,419.06 and 1,876.38

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Solution

The fourth proportional to 3,202.65, 4,419.06 and 1,876.38 is: 2,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.65 : 4,419.06 = 1,876.38 : x
  2. Step 2: Convert to fraction form
    3,202.65/4,419.06 = 1,876.38/x
  3. Step 3: Cross multiply
    3,202.65x = 4,419.06 × 1,876.38
  4. Step 4: Simplify right side
    3,202.65x = 8,291,835.80
  5. Step 5: Solve for x
    x = 8,291,835.80/3,202.65
  6. Step 6: Final answer
    x = 2,589.05

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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.