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Finding the Fourth Proportional to 1,806.49, 2,707.57 and 651.61

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Solution

The fourth proportional to 1,806.49, 2,707.57 and 651.61 is: 976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.49 : 2,707.57 = 651.61 : x
  2. Step 2: Convert to fraction form
    1,806.49/2,707.57 = 651.61/x
  3. Step 3: Cross multiply
    1,806.49x = 2,707.57 × 651.61
  4. Step 4: Simplify right side
    1,806.49x = 1,764,279.69
  5. Step 5: Solve for x
    x = 1,764,279.69/1,806.49
  6. Step 6: Final answer
    x = 976.63

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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.