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Finding the Fourth Proportional to 2,537, 3,806.14 and 713

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Solution

The fourth proportional to 2,537, 3,806.14 and 713 is: 1,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537 : 3,806.14 = 713 : x
  2. Step 2: Convert to fraction form
    2,537/3,806.14 = 713/x
  3. Step 3: Cross multiply
    2,537x = 3,806.14 × 713
  4. Step 4: Simplify right side
    2,537x = 2,713,777.82
  5. Step 5: Solve for x
    x = 2,713,777.82/2,537
  6. Step 6: Final answer
    x = 1,069.68

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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.