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Finding the Fourth Proportional to 2,100.56, 3,151.92 and 802.96

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Solution

The fourth proportional to 2,100.56, 3,151.92 and 802.96 is: 1,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.56 : 3,151.92 = 802.96 : x
  2. Step 2: Convert to fraction form
    2,100.56/3,151.92 = 802.96/x
  3. Step 3: Cross multiply
    2,100.56x = 3,151.92 × 802.96
  4. Step 4: Simplify right side
    2,100.56x = 2,530,865.68
  5. Step 5: Solve for x
    x = 2,530,865.68/2,100.56
  6. Step 6: Final answer
    x = 1,204.85

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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.