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Finding the Fourth Proportional to 2,326.49, 3,494.73 and 1,461.41

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Solution

The fourth proportional to 2,326.49, 3,494.73 and 1,461.41 is: 2,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.49 : 3,494.73 = 1,461.41 : x
  2. Step 2: Convert to fraction form
    2,326.49/3,494.73 = 1,461.41/x
  3. Step 3: Cross multiply
    2,326.49x = 3,494.73 × 1,461.41
  4. Step 4: Simplify right side
    2,326.49x = 5,107,233.37
  5. Step 5: Solve for x
    x = 5,107,233.37/2,326.49
  6. Step 6: Final answer
    x = 2,195.25

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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.