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Finding the Fourth Proportional to 1,968.74, 2,953.06 and 798.43

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Solution

The fourth proportional to 1,968.74, 2,953.06 and 798.43 is: 1,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.74 : 2,953.06 = 798.43 : x
  2. Step 2: Convert to fraction form
    1,968.74/2,953.06 = 798.43/x
  3. Step 3: Cross multiply
    1,968.74x = 2,953.06 × 798.43
  4. Step 4: Simplify right side
    1,968.74x = 2,357,792.94
  5. Step 5: Solve for x
    x = 2,357,792.94/1,968.74
  6. Step 6: Final answer
    x = 1,197.62

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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.