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Finding the Fourth Proportional to 1,687.45, 2,531.57 and 852.43

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Solution

The fourth proportional to 1,687.45, 2,531.57 and 852.43 is: 1,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.45 : 2,531.57 = 852.43 : x
  2. Step 2: Convert to fraction form
    1,687.45/2,531.57 = 852.43/x
  3. Step 3: Cross multiply
    1,687.45x = 2,531.57 × 852.43
  4. Step 4: Simplify right side
    1,687.45x = 2,157,986.22
  5. Step 5: Solve for x
    x = 2,157,986.22/1,687.45
  6. Step 6: Final answer
    x = 1,278.84

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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.