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Finding the Fourth Proportional to 3,193.38, 4,788.21 and 1,461.06

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Solution

The fourth proportional to 3,193.38, 4,788.21 and 1,461.06 is: 2,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.38 : 4,788.21 = 1,461.06 : x
  2. Step 2: Convert to fraction form
    3,193.38/4,788.21 = 1,461.06/x
  3. Step 3: Cross multiply
    3,193.38x = 4,788.21 × 1,461.06
  4. Step 4: Simplify right side
    3,193.38x = 6,995,862.10
  5. Step 5: Solve for x
    x = 6,995,862.10/3,193.38
  6. Step 6: Final answer
    x = 2,190.74

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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.