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Finding the Fourth Proportional to 3,009.96, 4,513.79 and 1,206.21

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Solution

The fourth proportional to 3,009.96, 4,513.79 and 1,206.21 is: 1,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.96 : 4,513.79 = 1,206.21 : x
  2. Step 2: Convert to fraction form
    3,009.96/4,513.79 = 1,206.21/x
  3. Step 3: Cross multiply
    3,009.96x = 4,513.79 × 1,206.21
  4. Step 4: Simplify right side
    3,009.96x = 5,444,572.60
  5. Step 5: Solve for x
    x = 5,444,572.60/3,009.96
  6. Step 6: Final answer
    x = 1,808.85

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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.