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Finding the Fourth Proportional to 2,555.18, 3,832.82 and 706.30

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Solution

The fourth proportional to 2,555.18, 3,832.82 and 706.30 is: 1,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.18 : 3,832.82 = 706.30 : x
  2. Step 2: Convert to fraction form
    2,555.18/3,832.82 = 706.30/x
  3. Step 3: Cross multiply
    2,555.18x = 3,832.82 × 706.30
  4. Step 4: Simplify right side
    2,555.18x = 2,707,120.77
  5. Step 5: Solve for x
    x = 2,707,120.77/2,555.18
  6. Step 6: Final answer
    x = 1,059.46

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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.