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Finding the Fourth Proportional to 1,832.29, 2,528.56 and 993

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Solution

The fourth proportional to 1,832.29, 2,528.56 and 993 is: 1,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.29 : 2,528.56 = 993 : x
  2. Step 2: Convert to fraction form
    1,832.29/2,528.56 = 993/x
  3. Step 3: Cross multiply
    1,832.29x = 2,528.56 × 993
  4. Step 4: Simplify right side
    1,832.29x = 2,510,860.08
  5. Step 5: Solve for x
    x = 2,510,860.08/1,832.29
  6. Step 6: Final answer
    x = 1,370.34

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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.