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Finding the Fourth Proportional to 1,676.34, 2,513.10 and 854.82

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Solution

The fourth proportional to 1,676.34, 2,513.10 and 854.82 is: 1,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.34 : 2,513.10 = 854.82 : x
  2. Step 2: Convert to fraction form
    1,676.34/2,513.10 = 854.82/x
  3. Step 3: Cross multiply
    1,676.34x = 2,513.10 × 854.82
  4. Step 4: Simplify right side
    1,676.34x = 2,148,248.14
  5. Step 5: Solve for x
    x = 2,148,248.14/1,676.34
  6. Step 6: Final answer
    x = 1,281.51

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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.