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Finding the Fourth Proportional to 3,502.89, 4,834.01 and 1,930.99

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Solution

The fourth proportional to 3,502.89, 4,834.01 and 1,930.99 is: 2,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.89 : 4,834.01 = 1,930.99 : x
  2. Step 2: Convert to fraction form
    3,502.89/4,834.01 = 1,930.99/x
  3. Step 3: Cross multiply
    3,502.89x = 4,834.01 × 1,930.99
  4. Step 4: Simplify right side
    3,502.89x = 9,334,424.97
  5. Step 5: Solve for x
    x = 9,334,424.97/3,502.89
  6. Step 6: Final answer
    x = 2,664.78

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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.