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Finding the Fourth Proportional to 1,954.40, 2,936.80 and 1,077.60

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Solution

The fourth proportional to 1,954.40, 2,936.80 and 1,077.60 is: 1,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.40 : 2,936.80 = 1,077.60 : x
  2. Step 2: Convert to fraction form
    1,954.40/2,936.80 = 1,077.60/x
  3. Step 3: Cross multiply
    1,954.40x = 2,936.80 × 1,077.60
  4. Step 4: Simplify right side
    1,954.40x = 3,164,695.68
  5. Step 5: Solve for x
    x = 3,164,695.68/1,954.40
  6. Step 6: Final answer
    x = 1,619.27

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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.