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Finding the Fourth Proportional to 1,987.14, 2,981.13 and 600.49

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Solution

The fourth proportional to 1,987.14, 2,981.13 and 600.49 is: 900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.14 : 2,981.13 = 600.49 : x
  2. Step 2: Convert to fraction form
    1,987.14/2,981.13 = 600.49/x
  3. Step 3: Cross multiply
    1,987.14x = 2,981.13 × 600.49
  4. Step 4: Simplify right side
    1,987.14x = 1,790,138.75
  5. Step 5: Solve for x
    x = 1,790,138.75/1,987.14
  6. Step 6: Final answer
    x = 900.86

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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.