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Finding the Fourth Proportional to 2,437, 3,365.82 and 1,649.68

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Solution

The fourth proportional to 2,437, 3,365.82 and 1,649.68 is: 2,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437 : 3,365.82 = 1,649.68 : x
  2. Step 2: Convert to fraction form
    2,437/3,365.82 = 1,649.68/x
  3. Step 3: Cross multiply
    2,437x = 3,365.82 × 1,649.68
  4. Step 4: Simplify right side
    2,437x = 5,552,525.94
  5. Step 5: Solve for x
    x = 5,552,525.94/2,437
  6. Step 6: Final answer
    x = 2,278.43

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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.