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Finding the Fourth Proportional to 2,897.82, 4,346.67 and 706.56

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Solution

The fourth proportional to 2,897.82, 4,346.67 and 706.56 is: 1,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.82 : 4,346.67 = 706.56 : x
  2. Step 2: Convert to fraction form
    2,897.82/4,346.67 = 706.56/x
  3. Step 3: Cross multiply
    2,897.82x = 4,346.67 × 706.56
  4. Step 4: Simplify right side
    2,897.82x = 3,071,183.16
  5. Step 5: Solve for x
    x = 3,071,183.16/2,897.82
  6. Step 6: Final answer
    x = 1,059.83

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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.