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Finding the Fourth Proportional to 3,241, 4,862.94 and 1,511.08

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Solution

The fourth proportional to 3,241, 4,862.94 and 1,511.08 is: 2,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241 : 4,862.94 = 1,511.08 : x
  2. Step 2: Convert to fraction form
    3,241/4,862.94 = 1,511.08/x
  3. Step 3: Cross multiply
    3,241x = 4,862.94 × 1,511.08
  4. Step 4: Simplify right side
    3,241x = 7,348,291.38
  5. Step 5: Solve for x
    x = 7,348,291.38/3,241
  6. Step 6: Final answer
    x = 2,267.29

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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.