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Finding the Fourth Proportional to 2,206.81, 3,308.97 and 973.57

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Solution

The fourth proportional to 2,206.81, 3,308.97 and 973.57 is: 1,459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.81 : 3,308.97 = 973.57 : x
  2. Step 2: Convert to fraction form
    2,206.81/3,308.97 = 973.57/x
  3. Step 3: Cross multiply
    2,206.81x = 3,308.97 × 973.57
  4. Step 4: Simplify right side
    2,206.81x = 3,221,513.92
  5. Step 5: Solve for x
    x = 3,221,513.92/2,206.81
  6. Step 6: Final answer
    x = 1,459.81

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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.