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Finding the Fourth Proportional to 1,986.62, 2,978.97 and 599.70

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Solution

The fourth proportional to 1,986.62, 2,978.97 and 599.70 is: 899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.62 : 2,978.97 = 599.70 : x
  2. Step 2: Convert to fraction form
    1,986.62/2,978.97 = 599.70/x
  3. Step 3: Cross multiply
    1,986.62x = 2,978.97 × 599.70
  4. Step 4: Simplify right side
    1,986.62x = 1,786,488.31
  5. Step 5: Solve for x
    x = 1,786,488.31/1,986.62
  6. Step 6: Final answer
    x = 899.26

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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.