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Finding the Fourth Proportional to 2,412.28, 3,618.01 and 680.50

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Solution

The fourth proportional to 2,412.28, 3,618.01 and 680.50 is: 1,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.28 : 3,618.01 = 680.50 : x
  2. Step 2: Convert to fraction form
    2,412.28/3,618.01 = 680.50/x
  3. Step 3: Cross multiply
    2,412.28x = 3,618.01 × 680.50
  4. Step 4: Simplify right side
    2,412.28x = 2,462,055.81
  5. Step 5: Solve for x
    x = 2,462,055.81/2,412.28
  6. Step 6: Final answer
    x = 1,020.63

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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.