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Finding the Fourth Proportional to 1,928.32, 2,893.20 and 1,445.44

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Solution

The fourth proportional to 1,928.32, 2,893.20 and 1,445.44 is: 2,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.32 : 2,893.20 = 1,445.44 : x
  2. Step 2: Convert to fraction form
    1,928.32/2,893.20 = 1,445.44/x
  3. Step 3: Cross multiply
    1,928.32x = 2,893.20 × 1,445.44
  4. Step 4: Simplify right side
    1,928.32x = 4,181,947.01
  5. Step 5: Solve for x
    x = 4,181,947.01/1,928.32
  6. Step 6: Final answer
    x = 2,168.70

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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.