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Finding the Fourth Proportional to 2,546.60, 3,513.80 and 1,986.08

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Solution

The fourth proportional to 2,546.60, 3,513.80 and 1,986.08 is: 2,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.60 : 3,513.80 = 1,986.08 : x
  2. Step 2: Convert to fraction form
    2,546.60/3,513.80 = 1,986.08/x
  3. Step 3: Cross multiply
    2,546.60x = 3,513.80 × 1,986.08
  4. Step 4: Simplify right side
    2,546.60x = 6,978,677.97
  5. Step 5: Solve for x
    x = 6,978,677.97/2,546.60
  6. Step 6: Final answer
    x = 2,740.39

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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.