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Finding the Fourth Proportional to 1,928.60, 2,893.79 and 612.56

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Solution

The fourth proportional to 1,928.60, 2,893.79 and 612.56 is: 919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.60 : 2,893.79 = 612.56 : x
  2. Step 2: Convert to fraction form
    1,928.60/2,893.79 = 612.56/x
  3. Step 3: Cross multiply
    1,928.60x = 2,893.79 × 612.56
  4. Step 4: Simplify right side
    1,928.60x = 1,772,620.00
  5. Step 5: Solve for x
    x = 1,772,620.00/1,928.60
  6. Step 6: Final answer
    x = 919.12

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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.