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Finding the Fourth Proportional to 1,829.78, 2,744.50 and 513.42

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Solution

The fourth proportional to 1,829.78, 2,744.50 and 513.42 is: 770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.78 : 2,744.50 = 513.42 : x
  2. Step 2: Convert to fraction form
    1,829.78/2,744.50 = 513.42/x
  3. Step 3: Cross multiply
    1,829.78x = 2,744.50 × 513.42
  4. Step 4: Simplify right side
    1,829.78x = 1,409,073.05
  5. Step 5: Solve for x
    x = 1,409,073.05/1,829.78
  6. Step 6: Final answer
    x = 770.08

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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.