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Finding the Fourth Proportional to 1,972.76, 2,957.31 and 673.92

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Solution

The fourth proportional to 1,972.76, 2,957.31 and 673.92 is: 1,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.76 : 2,957.31 = 673.92 : x
  2. Step 2: Convert to fraction form
    1,972.76/2,957.31 = 673.92/x
  3. Step 3: Cross multiply
    1,972.76x = 2,957.31 × 673.92
  4. Step 4: Simplify right side
    1,972.76x = 1,992,990.36
  5. Step 5: Solve for x
    x = 1,992,990.36/1,972.76
  6. Step 6: Final answer
    x = 1,010.26

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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.