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Finding the Fourth Proportional to 2,497.14, 3,750.19 and 1,729.14

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Solution

The fourth proportional to 2,497.14, 3,750.19 and 1,729.14 is: 2,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.14 : 3,750.19 = 1,729.14 : x
  2. Step 2: Convert to fraction form
    2,497.14/3,750.19 = 1,729.14/x
  3. Step 3: Cross multiply
    2,497.14x = 3,750.19 × 1,729.14
  4. Step 4: Simplify right side
    2,497.14x = 6,484,603.54
  5. Step 5: Solve for x
    x = 6,484,603.54/2,497.14
  6. Step 6: Final answer
    x = 2,596.81

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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.