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Finding the Fourth Proportional to 2,555.29, 3,833.14 and 706.39

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Solution

The fourth proportional to 2,555.29, 3,833.14 and 706.39 is: 1,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.29 : 3,833.14 = 706.39 : x
  2. Step 2: Convert to fraction form
    2,555.29/3,833.14 = 706.39/x
  3. Step 3: Cross multiply
    2,555.29x = 3,833.14 × 706.39
  4. Step 4: Simplify right side
    2,555.29x = 2,707,691.76
  5. Step 5: Solve for x
    x = 2,707,691.76/2,555.29
  6. Step 6: Final answer
    x = 1,059.64

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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.