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Finding the Fourth Proportional to 2,455.69, 3,682.13 and 1,676.63

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Solution

The fourth proportional to 2,455.69, 3,682.13 and 1,676.63 is: 2,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.69 : 3,682.13 = 1,676.63 : x
  2. Step 2: Convert to fraction form
    2,455.69/3,682.13 = 1,676.63/x
  3. Step 3: Cross multiply
    2,455.69x = 3,682.13 × 1,676.63
  4. Step 4: Simplify right side
    2,455.69x = 6,173,551.21
  5. Step 5: Solve for x
    x = 6,173,551.21/2,455.69
  6. Step 6: Final answer
    x = 2,513.98

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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.