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Finding the Fourth Proportional to 2,529.93, 3,795.11 and 681.00

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Solution

The fourth proportional to 2,529.93, 3,795.11 and 681.00 is: 1,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.93 : 3,795.11 = 681.00 : x
  2. Step 2: Convert to fraction form
    2,529.93/3,795.11 = 681.00/x
  3. Step 3: Cross multiply
    2,529.93x = 3,795.11 × 681.00
  4. Step 4: Simplify right side
    2,529.93x = 2,584,462.12
  5. Step 5: Solve for x
    x = 2,584,462.12/2,529.93
  6. Step 6: Final answer
    x = 1,021.56

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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.