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Finding the Fourth Proportional to 1,747.12, 2,620.49 and 706.81

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Solution

The fourth proportional to 1,747.12, 2,620.49 and 706.81 is: 1,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.12 : 2,620.49 = 706.81 : x
  2. Step 2: Convert to fraction form
    1,747.12/2,620.49 = 706.81/x
  3. Step 3: Cross multiply
    1,747.12x = 2,620.49 × 706.81
  4. Step 4: Simplify right side
    1,747.12x = 1,852,183.75
  5. Step 5: Solve for x
    x = 1,852,183.75/1,747.12
  6. Step 6: Final answer
    x = 1,060.14

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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.