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Finding the Fourth Proportional to 2,593.83, 3,888.43 and 949.99

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Solution

The fourth proportional to 2,593.83, 3,888.43 and 949.99 is: 1,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.83 : 3,888.43 = 949.99 : x
  2. Step 2: Convert to fraction form
    2,593.83/3,888.43 = 949.99/x
  3. Step 3: Cross multiply
    2,593.83x = 3,888.43 × 949.99
  4. Step 4: Simplify right side
    2,593.83x = 3,693,957.64
  5. Step 5: Solve for x
    x = 3,693,957.64/2,593.83
  6. Step 6: Final answer
    x = 1,424.13

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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.