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Finding the Fourth Proportional to 2,934.69, 4,403.85 and 1,473.99

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Solution

The fourth proportional to 2,934.69, 4,403.85 and 1,473.99 is: 2,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.69 : 4,403.85 = 1,473.99 : x
  2. Step 2: Convert to fraction form
    2,934.69/4,403.85 = 1,473.99/x
  3. Step 3: Cross multiply
    2,934.69x = 4,403.85 × 1,473.99
  4. Step 4: Simplify right side
    2,934.69x = 6,491,230.86
  5. Step 5: Solve for x
    x = 6,491,230.86/2,934.69
  6. Step 6: Final answer
    x = 2,211.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.