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Finding the Fourth Proportional to 2,986.67, 4,480.89 and 1,206.81

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Solution

The fourth proportional to 2,986.67, 4,480.89 and 1,206.81 is: 1,810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.67 : 4,480.89 = 1,206.81 : x
  2. Step 2: Convert to fraction form
    2,986.67/4,480.89 = 1,206.81/x
  3. Step 3: Cross multiply
    2,986.67x = 4,480.89 × 1,206.81
  4. Step 4: Simplify right side
    2,986.67x = 5,407,582.86
  5. Step 5: Solve for x
    x = 5,407,582.86/2,986.67
  6. Step 6: Final answer
    x = 1,810.58

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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.