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Finding the Fourth Proportional to 1,832.78, 2,750.26 and 1,683.89

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Solution

The fourth proportional to 1,832.78, 2,750.26 and 1,683.89 is: 2,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.78 : 2,750.26 = 1,683.89 : x
  2. Step 2: Convert to fraction form
    1,832.78/2,750.26 = 1,683.89/x
  3. Step 3: Cross multiply
    1,832.78x = 2,750.26 × 1,683.89
  4. Step 4: Simplify right side
    1,832.78x = 4,631,135.31
  5. Step 5: Solve for x
    x = 4,631,135.31/1,832.78
  6. Step 6: Final answer
    x = 2,526.84

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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.