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Finding the Fourth Proportional to 3,096.49, 4,273.24 and 1,752

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Solution

The fourth proportional to 3,096.49, 4,273.24 and 1,752 is: 2,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.49 : 4,273.24 = 1,752 : x
  2. Step 2: Convert to fraction form
    3,096.49/4,273.24 = 1,752/x
  3. Step 3: Cross multiply
    3,096.49x = 4,273.24 × 1,752
  4. Step 4: Simplify right side
    3,096.49x = 7,486,716.48
  5. Step 5: Solve for x
    x = 7,486,716.48/3,096.49
  6. Step 6: Final answer
    x = 2,417.81

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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.