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Finding the Fourth Proportional to 3,394.47, 5,091.70 and 1,661.88

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Solution

The fourth proportional to 3,394.47, 5,091.70 and 1,661.88 is: 2,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.47 : 5,091.70 = 1,661.88 : x
  2. Step 2: Convert to fraction form
    3,394.47/5,091.70 = 1,661.88/x
  3. Step 3: Cross multiply
    3,394.47x = 5,091.70 × 1,661.88
  4. Step 4: Simplify right side
    3,394.47x = 8,461,794.40
  5. Step 5: Solve for x
    x = 8,461,794.40/3,394.47
  6. Step 6: Final answer
    x = 2,492.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.