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Finding the Fourth Proportional to 1,786.35, 2,678.87 and 616.06

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Solution

The fourth proportional to 1,786.35, 2,678.87 and 616.06 is: 923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.35 : 2,678.87 = 616.06 : x
  2. Step 2: Convert to fraction form
    1,786.35/2,678.87 = 616.06/x
  3. Step 3: Cross multiply
    1,786.35x = 2,678.87 × 616.06
  4. Step 4: Simplify right side
    1,786.35x = 1,650,334.47
  5. Step 5: Solve for x
    x = 1,650,334.47/1,786.35
  6. Step 6: Final answer
    x = 923.86

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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.