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Finding the Fourth Proportional to 1,829.87, 2,744.64 and 513.52

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Solution

The fourth proportional to 1,829.87, 2,744.64 and 513.52 is: 770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.87 : 2,744.64 = 513.52 : x
  2. Step 2: Convert to fraction form
    1,829.87/2,744.64 = 513.52/x
  3. Step 3: Cross multiply
    1,829.87x = 2,744.64 × 513.52
  4. Step 4: Simplify right side
    1,829.87x = 1,409,413.81
  5. Step 5: Solve for x
    x = 1,409,413.81/1,829.87
  6. Step 6: Final answer
    x = 770.23

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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.