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Finding the Fourth Proportional to 2,666.39, 3,679.77 and 1,546.91

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Solution

The fourth proportional to 2,666.39, 3,679.77 and 1,546.91 is: 2,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.39 : 3,679.77 = 1,546.91 : x
  2. Step 2: Convert to fraction form
    2,666.39/3,679.77 = 1,546.91/x
  3. Step 3: Cross multiply
    2,666.39x = 3,679.77 × 1,546.91
  4. Step 4: Simplify right side
    2,666.39x = 5,692,276.41
  5. Step 5: Solve for x
    x = 5,692,276.41/2,666.39
  6. Step 6: Final answer
    x = 2,134.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.