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Finding the Fourth Proportional to 1,937.28, 2,905.92 and 1,289.28

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Solution

The fourth proportional to 1,937.28, 2,905.92 and 1,289.28 is: 1,933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.28 : 2,905.92 = 1,289.28 : x
  2. Step 2: Convert to fraction form
    1,937.28/2,905.92 = 1,289.28/x
  3. Step 3: Cross multiply
    1,937.28x = 2,905.92 × 1,289.28
  4. Step 4: Simplify right side
    1,937.28x = 3,746,544.54
  5. Step 5: Solve for x
    x = 3,746,544.54/1,937.28
  6. Step 6: Final answer
    x = 1,933.92

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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.