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Finding the Fourth Proportional to 3,069.12, 4,602.72 and 1,120.88

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Solution

The fourth proportional to 3,069.12, 4,602.72 and 1,120.88 is: 1,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.12 : 4,602.72 = 1,120.88 : x
  2. Step 2: Convert to fraction form
    3,069.12/4,602.72 = 1,120.88/x
  3. Step 3: Cross multiply
    3,069.12x = 4,602.72 × 1,120.88
  4. Step 4: Simplify right side
    3,069.12x = 5,159,096.79
  5. Step 5: Solve for x
    x = 5,159,096.79/3,069.12
  6. Step 6: Final answer
    x = 1,680.97

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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.