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Finding the Fourth Proportional to 1,906.35, 2,859.21 and 589.77

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Solution

The fourth proportional to 1,906.35, 2,859.21 and 589.77 is: 884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.35 : 2,859.21 = 589.77 : x
  2. Step 2: Convert to fraction form
    1,906.35/2,859.21 = 589.77/x
  3. Step 3: Cross multiply
    1,906.35x = 2,859.21 × 589.77
  4. Step 4: Simplify right side
    1,906.35x = 1,686,276.28
  5. Step 5: Solve for x
    x = 1,686,276.28/1,906.35
  6. Step 6: Final answer
    x = 884.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.