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Finding the Fourth Proportional to 1,766.06, 2,649.57 and 611.81

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Solution

The fourth proportional to 1,766.06, 2,649.57 and 611.81 is: 917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.06 : 2,649.57 = 611.81 : x
  2. Step 2: Convert to fraction form
    1,766.06/2,649.57 = 611.81/x
  3. Step 3: Cross multiply
    1,766.06x = 2,649.57 × 611.81
  4. Step 4: Simplify right side
    1,766.06x = 1,621,037.75
  5. Step 5: Solve for x
    x = 1,621,037.75/1,766.06
  6. Step 6: Final answer
    x = 917.88

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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.