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Finding the Fourth Proportional to 2,412.81, 3,619.53 and 681.48

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Solution

The fourth proportional to 2,412.81, 3,619.53 and 681.48 is: 1,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.81 : 3,619.53 = 681.48 : x
  2. Step 2: Convert to fraction form
    2,412.81/3,619.53 = 681.48/x
  3. Step 3: Cross multiply
    2,412.81x = 3,619.53 × 681.48
  4. Step 4: Simplify right side
    2,412.81x = 2,466,637.30
  5. Step 5: Solve for x
    x = 2,466,637.30/2,412.81
  6. Step 6: Final answer
    x = 1,022.31

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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.