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Finding the Fourth Proportional to 3,421.81, 4,722.08 and 1,849.90

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Solution

The fourth proportional to 3,421.81, 4,722.08 and 1,849.90 is: 2,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.81 : 4,722.08 = 1,849.90 : x
  2. Step 2: Convert to fraction form
    3,421.81/4,722.08 = 1,849.90/x
  3. Step 3: Cross multiply
    3,421.81x = 4,722.08 × 1,849.90
  4. Step 4: Simplify right side
    3,421.81x = 8,735,375.79
  5. Step 5: Solve for x
    x = 8,735,375.79/3,421.81
  6. Step 6: Final answer
    x = 2,552.85

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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.