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Finding the Fourth Proportional to 2,546, 3,511.08 and 2,347.44

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Solution

The fourth proportional to 2,546, 3,511.08 and 2,347.44 is: 3,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546 : 3,511.08 = 2,347.44 : x
  2. Step 2: Convert to fraction form
    2,546/3,511.08 = 2,347.44/x
  3. Step 3: Cross multiply
    2,546x = 3,511.08 × 2,347.44
  4. Step 4: Simplify right side
    2,546x = 8,242,049.64
  5. Step 5: Solve for x
    x = 8,242,049.64/2,546
  6. Step 6: Final answer
    x = 3,237.25

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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.