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Finding the Fourth Proportional to 2,424.84, 3,640.65 and 1,682.69

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Solution

The fourth proportional to 2,424.84, 3,640.65 and 1,682.69 is: 2,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.84 : 3,640.65 = 1,682.69 : x
  2. Step 2: Convert to fraction form
    2,424.84/3,640.65 = 1,682.69/x
  3. Step 3: Cross multiply
    2,424.84x = 3,640.65 × 1,682.69
  4. Step 4: Simplify right side
    2,424.84x = 6,126,067.15
  5. Step 5: Solve for x
    x = 6,126,067.15/2,424.84
  6. Step 6: Final answer
    x = 2,526.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.