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Finding the Fourth Proportional to 1,832.71, 2,529.16 and 993.42

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Solution

The fourth proportional to 1,832.71, 2,529.16 and 993.42 is: 1,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.71 : 2,529.16 = 993.42 : x
  2. Step 2: Convert to fraction form
    1,832.71/2,529.16 = 993.42/x
  3. Step 3: Cross multiply
    1,832.71x = 2,529.16 × 993.42
  4. Step 4: Simplify right side
    1,832.71x = 2,512,512.09
  5. Step 5: Solve for x
    x = 2,512,512.09/1,832.71
  6. Step 6: Final answer
    x = 1,370.93

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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.