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Finding the Fourth Proportional to 2,435.98, 3,651.09 and 1,461.46

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Solution

The fourth proportional to 2,435.98, 3,651.09 and 1,461.46 is: 2,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.98 : 3,651.09 = 1,461.46 : x
  2. Step 2: Convert to fraction form
    2,435.98/3,651.09 = 1,461.46/x
  3. Step 3: Cross multiply
    2,435.98x = 3,651.09 × 1,461.46
  4. Step 4: Simplify right side
    2,435.98x = 5,335,921.99
  5. Step 5: Solve for x
    x = 5,335,921.99/2,435.98
  6. Step 6: Final answer
    x = 2,190.46

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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.