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Finding the Fourth Proportional to 3,064.67, 4,229.22 and 1,869.65

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Solution

The fourth proportional to 3,064.67, 4,229.22 and 1,869.65 is: 2,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.67 : 4,229.22 = 1,869.65 : x
  2. Step 2: Convert to fraction form
    3,064.67/4,229.22 = 1,869.65/x
  3. Step 3: Cross multiply
    3,064.67x = 4,229.22 × 1,869.65
  4. Step 4: Simplify right side
    3,064.67x = 7,907,162.90
  5. Step 5: Solve for x
    x = 7,907,162.90/3,064.67
  6. Step 6: Final answer
    x = 2,580.10

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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.