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Finding the Fourth Proportional to 3,120.31, 4,680.75 and 928.64

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Solution

The fourth proportional to 3,120.31, 4,680.75 and 928.64 is: 1,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.31 : 4,680.75 = 928.64 : x
  2. Step 2: Convert to fraction form
    3,120.31/4,680.75 = 928.64/x
  3. Step 3: Cross multiply
    3,120.31x = 4,680.75 × 928.64
  4. Step 4: Simplify right side
    3,120.31x = 4,346,731.68
  5. Step 5: Solve for x
    x = 4,346,731.68/3,120.31
  6. Step 6: Final answer
    x = 1,393.05

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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.