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Finding the Fourth Proportional to 2,541.78, 3,507.49 and 1,407.37

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Solution

The fourth proportional to 2,541.78, 3,507.49 and 1,407.37 is: 1,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.78 : 3,507.49 = 1,407.37 : x
  2. Step 2: Convert to fraction form
    2,541.78/3,507.49 = 1,407.37/x
  3. Step 3: Cross multiply
    2,541.78x = 3,507.49 × 1,407.37
  4. Step 4: Simplify right side
    2,541.78x = 4,936,344.97
  5. Step 5: Solve for x
    x = 4,936,344.97/2,541.78
  6. Step 6: Final answer
    x = 1,942.08

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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.