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Finding the Fourth Proportional to 1,969.73, 2,956.40 and 996.51

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Solution

The fourth proportional to 1,969.73, 2,956.40 and 996.51 is: 1,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.73 : 2,956.40 = 996.51 : x
  2. Step 2: Convert to fraction form
    1,969.73/2,956.40 = 996.51/x
  3. Step 3: Cross multiply
    1,969.73x = 2,956.40 × 996.51
  4. Step 4: Simplify right side
    1,969.73x = 2,946,077.18
  5. Step 5: Solve for x
    x = 2,946,077.18/1,969.73
  6. Step 6: Final answer
    x = 1,495.68

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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.