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Finding the Fourth Proportional to 2,541.68, 3,507.09 and 1,493.94

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Solution

The fourth proportional to 2,541.68, 3,507.09 and 1,493.94 is: 2,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.68 : 3,507.09 = 1,493.94 : x
  2. Step 2: Convert to fraction form
    2,541.68/3,507.09 = 1,493.94/x
  3. Step 3: Cross multiply
    2,541.68x = 3,507.09 × 1,493.94
  4. Step 4: Simplify right side
    2,541.68x = 5,239,382.03
  5. Step 5: Solve for x
    x = 5,239,382.03/2,541.68
  6. Step 6: Final answer
    x = 2,061.39

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Why These Related Problems?

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