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Finding the Fourth Proportional to 2,461.41, 3,691.22 and 900.90

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Solution

The fourth proportional to 2,461.41, 3,691.22 and 900.90 is: 1,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.41 : 3,691.22 = 900.90 : x
  2. Step 2: Convert to fraction form
    2,461.41/3,691.22 = 900.90/x
  3. Step 3: Cross multiply
    2,461.41x = 3,691.22 × 900.90
  4. Step 4: Simplify right side
    2,461.41x = 3,325,415.59
  5. Step 5: Solve for x
    x = 3,325,415.59/2,461.41
  6. Step 6: Final answer
    x = 1,351.02

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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.