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Finding the Fourth Proportional to 2,236.61, 3,086.71 and 1,242.24

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Solution

The fourth proportional to 2,236.61, 3,086.71 and 1,242.24 is: 1,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.61 : 3,086.71 = 1,242.24 : x
  2. Step 2: Convert to fraction form
    2,236.61/3,086.71 = 1,242.24/x
  3. Step 3: Cross multiply
    2,236.61x = 3,086.71 × 1,242.24
  4. Step 4: Simplify right side
    2,236.61x = 3,834,419.95
  5. Step 5: Solve for x
    x = 3,834,419.95/2,236.61
  6. Step 6: Final answer
    x = 1,714.39

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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.