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Finding the Fourth Proportional to 3,120.64, 4,680.54 and 928.96

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Solution

The fourth proportional to 3,120.64, 4,680.54 and 928.96 is: 1,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.64 : 4,680.54 = 928.96 : x
  2. Step 2: Convert to fraction form
    3,120.64/4,680.54 = 928.96/x
  3. Step 3: Cross multiply
    3,120.64x = 4,680.54 × 928.96
  4. Step 4: Simplify right side
    3,120.64x = 4,348,034.44
  5. Step 5: Solve for x
    x = 4,348,034.44/3,120.64
  6. Step 6: Final answer
    x = 1,393.31

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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.