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Finding the Fourth Proportional to 1,906.54, 2,858.68 and 589.90

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Solution

The fourth proportional to 1,906.54, 2,858.68 and 589.90 is: 884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.54 : 2,858.68 = 589.90 : x
  2. Step 2: Convert to fraction form
    1,906.54/2,858.68 = 589.90/x
  3. Step 3: Cross multiply
    1,906.54x = 2,858.68 × 589.90
  4. Step 4: Simplify right side
    1,906.54x = 1,686,337.43
  5. Step 5: Solve for x
    x = 1,686,337.43/1,906.54
  6. Step 6: Final answer
    x = 884.50

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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.