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Finding the Fourth Proportional to 2,725.55, 3,760.27 and 2,460.38

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Solution

The fourth proportional to 2,725.55, 3,760.27 and 2,460.38 is: 3,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.55 : 3,760.27 = 2,460.38 : x
  2. Step 2: Convert to fraction form
    2,725.55/3,760.27 = 2,460.38/x
  3. Step 3: Cross multiply
    2,725.55x = 3,760.27 × 2,460.38
  4. Step 4: Simplify right side
    2,725.55x = 9,251,681.99
  5. Step 5: Solve for x
    x = 9,251,681.99/2,725.55
  6. Step 6: Final answer
    x = 3,394.43

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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.