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Finding the Fourth Proportional to 2,497.67, 3,743.35 and 1,265.39

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Solution

The fourth proportional to 2,497.67, 3,743.35 and 1,265.39 is: 1,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.67 : 3,743.35 = 1,265.39 : x
  2. Step 2: Convert to fraction form
    2,497.67/3,743.35 = 1,265.39/x
  3. Step 3: Cross multiply
    2,497.67x = 3,743.35 × 1,265.39
  4. Step 4: Simplify right side
    2,497.67x = 4,736,797.66
  5. Step 5: Solve for x
    x = 4,736,797.66/2,497.67
  6. Step 6: Final answer
    x = 1,896.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.