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Finding the Fourth Proportional to 2,913.38, 4,369.99 and 833.34

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Solution

The fourth proportional to 2,913.38, 4,369.99 and 833.34 is: 1,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.38 : 4,369.99 = 833.34 : x
  2. Step 2: Convert to fraction form
    2,913.38/4,369.99 = 833.34/x
  3. Step 3: Cross multiply
    2,913.38x = 4,369.99 × 833.34
  4. Step 4: Simplify right side
    2,913.38x = 3,641,685.38
  5. Step 5: Solve for x
    x = 3,641,685.38/2,913.38
  6. Step 6: Final answer
    x = 1,249.99

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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.