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Finding the Fourth Proportional to 1,687.36, 2,326.72 and 1,096.80

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Solution

The fourth proportional to 1,687.36, 2,326.72 and 1,096.80 is: 1,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.36 : 2,326.72 = 1,096.80 : x
  2. Step 2: Convert to fraction form
    1,687.36/2,326.72 = 1,096.80/x
  3. Step 3: Cross multiply
    1,687.36x = 2,326.72 × 1,096.80
  4. Step 4: Simplify right side
    1,687.36x = 2,551,946.50
  5. Step 5: Solve for x
    x = 2,551,946.50/1,687.36
  6. Step 6: Final answer
    x = 1,512.39

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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.