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Finding the Fourth Proportional to 2,538, 3,502.51 and 1,419.13

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Solution

The fourth proportional to 2,538, 3,502.51 and 1,419.13 is: 1,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538 : 3,502.51 = 1,419.13 : x
  2. Step 2: Convert to fraction form
    2,538/3,502.51 = 1,419.13/x
  3. Step 3: Cross multiply
    2,538x = 3,502.51 × 1,419.13
  4. Step 4: Simplify right side
    2,538x = 4,970,504.71
  5. Step 5: Solve for x
    x = 4,970,504.71/2,538
  6. Step 6: Final answer
    x = 1,958.43

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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.