Home / 2,206.12-3,309.45-973.84

Finding the Fourth Proportional to 2,206.12, 3,309.45 and 973.84

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Solution

The fourth proportional to 2,206.12, 3,309.45 and 973.84 is: 1,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.12 : 3,309.45 = 973.84 : x
  2. Step 2: Convert to fraction form
    2,206.12/3,309.45 = 973.84/x
  3. Step 3: Cross multiply
    2,206.12x = 3,309.45 × 973.84
  4. Step 4: Simplify right side
    2,206.12x = 3,222,874.79
  5. Step 5: Solve for x
    x = 3,222,874.79/2,206.12
  6. Step 6: Final answer
    x = 1,460.88

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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.