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Finding the Fourth Proportional to 2,541.66, 3,507.99 and 1,609.50

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Solution

The fourth proportional to 2,541.66, 3,507.99 and 1,609.50 is: 2,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.66 : 3,507.99 = 1,609.50 : x
  2. Step 2: Convert to fraction form
    2,541.66/3,507.99 = 1,609.50/x
  3. Step 3: Cross multiply
    2,541.66x = 3,507.99 × 1,609.50
  4. Step 4: Simplify right side
    2,541.66x = 5,646,109.91
  5. Step 5: Solve for x
    x = 5,646,109.91/2,541.66
  6. Step 6: Final answer
    x = 2,221.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.