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Finding the Fourth Proportional to 1,786.68, 2,679.87 and 616.57

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Solution

The fourth proportional to 1,786.68, 2,679.87 and 616.57 is: 924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.68 : 2,679.87 = 616.57 : x
  2. Step 2: Convert to fraction form
    1,786.68/2,679.87 = 616.57/x
  3. Step 3: Cross multiply
    1,786.68x = 2,679.87 × 616.57
  4. Step 4: Simplify right side
    1,786.68x = 1,652,327.45
  5. Step 5: Solve for x
    x = 1,652,327.45/1,786.68
  6. Step 6: Final answer
    x = 924.80

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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.