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Finding the Fourth Proportional to 2,530.28, 3,795.68 and 681.41

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Solution

The fourth proportional to 2,530.28, 3,795.68 and 681.41 is: 1,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.28 : 3,795.68 = 681.41 : x
  2. Step 2: Convert to fraction form
    2,530.28/3,795.68 = 681.41/x
  3. Step 3: Cross multiply
    2,530.28x = 3,795.68 × 681.41
  4. Step 4: Simplify right side
    2,530.28x = 2,586,425.50
  5. Step 5: Solve for x
    x = 2,586,425.50/2,530.28
  6. Step 6: Final answer
    x = 1,022.19

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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.