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Finding the Fourth Proportional to 1,832.53, 2,528.90 and 993.25

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Solution

The fourth proportional to 1,832.53, 2,528.90 and 993.25 is: 1,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.53 : 2,528.90 = 993.25 : x
  2. Step 2: Convert to fraction form
    1,832.53/2,528.90 = 993.25/x
  3. Step 3: Cross multiply
    1,832.53x = 2,528.90 × 993.25
  4. Step 4: Simplify right side
    1,832.53x = 2,511,829.93
  5. Step 5: Solve for x
    x = 2,511,829.93/1,832.53
  6. Step 6: Final answer
    x = 1,370.69

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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.