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Finding the Fourth Proportional to 1,651.50, 2,278.97 and 988.37

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Solution

The fourth proportional to 1,651.50, 2,278.97 and 988.37 is: 1,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.50 : 2,278.97 = 988.37 : x
  2. Step 2: Convert to fraction form
    1,651.50/2,278.97 = 988.37/x
  3. Step 3: Cross multiply
    1,651.50x = 2,278.97 × 988.37
  4. Step 4: Simplify right side
    1,651.50x = 2,252,449.24
  5. Step 5: Solve for x
    x = 2,252,449.24/1,651.50
  6. Step 6: Final answer
    x = 1,363.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.