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Finding the Fourth Proportional to 2,783.33, 4,174.85 and 934.46

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Solution

The fourth proportional to 2,783.33, 4,174.85 and 934.46 is: 1,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.33 : 4,174.85 = 934.46 : x
  2. Step 2: Convert to fraction form
    2,783.33/4,174.85 = 934.46/x
  3. Step 3: Cross multiply
    2,783.33x = 4,174.85 × 934.46
  4. Step 4: Simplify right side
    2,783.33x = 3,901,204.78
  5. Step 5: Solve for x
    x = 3,901,204.78/2,783.33
  6. Step 6: Final answer
    x = 1,401.63

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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.