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Finding the Fourth Proportional to 1,742.78, 2,405.25 and 996.63

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Solution

The fourth proportional to 1,742.78, 2,405.25 and 996.63 is: 1,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.78 : 2,405.25 = 996.63 : x
  2. Step 2: Convert to fraction form
    1,742.78/2,405.25 = 996.63/x
  3. Step 3: Cross multiply
    1,742.78x = 2,405.25 × 996.63
  4. Step 4: Simplify right side
    1,742.78x = 2,397,144.31
  5. Step 5: Solve for x
    x = 2,397,144.31/1,742.78
  6. Step 6: Final answer
    x = 1,375.47

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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.