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Finding the Fourth Proportional to 1,957.33, 2,936.73 and 1,177.87

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Solution

The fourth proportional to 1,957.33, 2,936.73 and 1,177.87 is: 1,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.33 : 2,936.73 = 1,177.87 : x
  2. Step 2: Convert to fraction form
    1,957.33/2,936.73 = 1,177.87/x
  3. Step 3: Cross multiply
    1,957.33x = 2,936.73 × 1,177.87
  4. Step 4: Simplify right side
    1,957.33x = 3,459,077.73
  5. Step 5: Solve for x
    x = 3,459,077.73/1,957.33
  6. Step 6: Final answer
    x = 1,767.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.