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Finding the Fourth Proportional to 2,628.50, 3,942.76 and 1,089.50

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Solution

The fourth proportional to 2,628.50, 3,942.76 and 1,089.50 is: 1,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.50 : 3,942.76 = 1,089.50 : x
  2. Step 2: Convert to fraction form
    2,628.50/3,942.76 = 1,089.50/x
  3. Step 3: Cross multiply
    2,628.50x = 3,942.76 × 1,089.50
  4. Step 4: Simplify right side
    2,628.50x = 4,295,637.02
  5. Step 5: Solve for x
    x = 4,295,637.02/2,628.50
  6. Step 6: Final answer
    x = 1,634.25

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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.