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Finding the Fourth Proportional to 2,206.08, 3,306.90 and 973.27

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Solution

The fourth proportional to 2,206.08, 3,306.90 and 973.27 is: 1,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.08 : 3,306.90 = 973.27 : x
  2. Step 2: Convert to fraction form
    2,206.08/3,306.90 = 973.27/x
  3. Step 3: Cross multiply
    2,206.08x = 3,306.90 × 973.27
  4. Step 4: Simplify right side
    2,206.08x = 3,218,510.85
  5. Step 5: Solve for x
    x = 3,218,510.85/2,206.08
  6. Step 6: Final answer
    x = 1,458.93

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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.