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Finding the Fourth Proportional to 3,065.70, 4,229.38 and 1,869.72

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Solution

The fourth proportional to 3,065.70, 4,229.38 and 1,869.72 is: 2,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.70 : 4,229.38 = 1,869.72 : x
  2. Step 2: Convert to fraction form
    3,065.70/4,229.38 = 1,869.72/x
  3. Step 3: Cross multiply
    3,065.70x = 4,229.38 × 1,869.72
  4. Step 4: Simplify right side
    3,065.70x = 7,907,756.37
  5. Step 5: Solve for x
    x = 7,907,756.37/3,065.70
  6. Step 6: Final answer
    x = 2,579.43

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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.