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Finding the Fourth Proportional to 1,687.96, 2,532.32 and 852.94

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Solution

The fourth proportional to 1,687.96, 2,532.32 and 852.94 is: 1,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.96 : 2,532.32 = 852.94 : x
  2. Step 2: Convert to fraction form
    1,687.96/2,532.32 = 852.94/x
  3. Step 3: Cross multiply
    1,687.96x = 2,532.32 × 852.94
  4. Step 4: Simplify right side
    1,687.96x = 2,159,917.02
  5. Step 5: Solve for x
    x = 2,159,917.02/1,687.96
  6. Step 6: Final answer
    x = 1,279.60

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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.